Results for 'Anatolij Dvure��enskij'

35 found
Order:
  1.  29
    States on Pseudo MV-Algebras.Anatolij Dvurečenskij - 2001 - Studia Logica 68 (3):301-327.
    Pseudo MV-algebras are a non-commutative extension of MV-algebras introduced recently by Georgescu and Iorgulescu. We introduce states (finitely additive probability measures) on pseudo MV-algebras. We show that extremal states correspond to normal maximal ideals. We give an example in that, in contrast to classical MV-algebras introduced by Chang, states can fail on pseudo MV-algebras. We prove that representable and normal-valued pseudo MV-algebras admit at least one state.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   9 citations  
  2.  32
    State-Morphism MV-Algebras.Antonio Di Nola & Anatolij Dvurečenskij - 2010 - Annals of Pure and Applied Logic 161 (2):161-173.
    We present a stronger variation of state MV-algebras, recently presented by T. Flaminio and F. Montagna, which we call state-morphism MV-algebras. Such structures are MV-algebras with an internal notion, a state-morphism operator. We describe the categorical equivalences of such state MV-algebras with the category of unital Abelian ℓ-groups with a fixed state operator and present their basic properties. In addition, in contrast to state MV-algebras, we are able to describe all subdirectly irreducible state-morphism MV-algebras.
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   5 citations  
  3.  12
    Subdirectly Irreducible State-Morphism BL-Algebras.Anatolij Dvurečenskij - 2011 - Archive for Mathematical Logic 50 (1-2):145-160.
    Recently Flaminio and Montagna (Proceedings of the 5th EUSFLAT Conference, II: 201–206. Ostrava, 2007), (Inter. J. Approx. Reason. 50:138–152, 2009) introduced the notion of a state MV-algebra as an MV-algebra with internal state. We have two kinds: state MV-algebras and state-morphism MV-algebras. These notions were also extended for state BL-algebras in (Soft Comput. doi:10.1007/s00500-010-0571-5). In this paper, we completely describe subdirectly irreducible state-morphism BL-algebras and this generalizes an analogous result for state-morphism MV-algebras presented in (Ann. Pure Appl. Logic 161:161–173, 2009).
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  4. Kite Pseudo Effect Algebras.Anatolij Dvurečenskij - 2013 - Foundations of Physics 43 (11):1314-1338.
    We define a new class of pseudo effect algebras, called kite pseudo effect algebras, which is connected with partially ordered groups not necessarily with strong unit. In such a case, starting even with an Abelian po-group, we can obtain a noncommutative pseudo effect algebra. We show how such kite pseudo effect algebras are tied with different types of the Riesz Decomposition Properties. Kites are so-called perfect pseudo effect algebras, and we define conditions when kite pseudo effect algebras have the least (...)
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  5.  16
    On the Structure of Linearly Ordered Pseudo-BCK-Algebras.Anatolij Dvurečenskij & Jan Kühr - 2009 - Archive for Mathematical Logic 48 (8):771-791.
    Pseudo-BCK-algebras are a non-commutative generalization of well-known BCK-algebras. The paper describes a situation when a linearly ordered pseudo-BCK-algebra is an ordinal sum of linearly ordered cone algebras. In addition, we present two identities giving such a possibility of the decomposition and axiomatize the residuation subreducts of representable pseudo-hoops and pseudo-BL-algebras.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  6.  31
    Atomic Effect Algebras with the Riesz Decomposition Property.Anatolij Dvurečenskij & Yongjian Xie - 2012 - Foundations of Physics 42 (8):1078-1093.
    We discuss the relationships between effect algebras with the Riesz Decomposition Property and partially ordered groups with interpolation. We show that any σ-orthocomplete atomic effect algebra with the Riesz Decomposition Property is an MV-effect algebras, and we apply this result for pseudo-effect algebras and for states.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  7.  41
    States on Pseudo Effect Algebras and Integrals.Anatolij Dvurečenskij - 2011 - Foundations of Physics 41 (7):1143-1162.
    We show that every state on an interval pseudo effect algebra E satisfying an appropriate version of the Riesz Decomposition Property (RDP for short) is an integral through a regular Borel probability measure defined on the Borel σ-algebra of a Choquet simplex K. In particular, if E satisfies the strongest type of RDP, the representing Borel probability measure can be uniquely chosen to have its support in the set of the extreme points of K.
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  8.  63
    Piron's and Bell's Geometric Lemmas and Gleason's Theorem.Georges Chevalier, Anatolij Dvurečenskij & Karl Svozil - 2000 - Foundations of Physics 30 (10):1737-1755.
    We study the idea of implantation of Piron's and Bell's geometrical lemmas for proving some results concerning measures on finite as well as infinite-dimensional Hilbert spaces, including also measures with infinite values. In addition, we present parabola based proofs of weak Piron's geometrical and Bell's lemmas. These approaches will not used directly Gleason's theorem, which is a highly non-trivial result.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  9. On Categorical Equivalences of Commutative Bck-Algebras.Dvurecenskij Anatolij - 2000 - Studia Logica 64 (1).
  10. Il destino di Hölderlin.Anatolij Lunačarskij - 2010 - Aisthesis: Pratiche, Linguaggi E Saperi Dell’Estetico 3 (1).
    Translate
     
     
    Export citation  
     
    Bookmark  
  11.  33
    On Categorical Equivalences of Commutative BCK-Algebras.Anatolij Dvurečenskij - 2000 - Studia Logica 64 (1):21-36.
    A commutative BCK-algebra with the relative cancellation property is a commutative BCK-algebra (X;*,0) which satisfies the condition: if a ≤ x, a ≤ y and x * a = y * a, then x = y. Such BCK-algebras form a variety, and the category of these BCK-algebras is categorically equivalent to the category of Abelian ℓ-groups whose objects are pairs (G, G 0), where G is an Abelian ℓ-group, G 0 is a subset of the positive cone generating G + (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  12. Epoka postindustrializmu: transformacja ideałów wiedzy, świadomości i aktywności mentalnej człowieka.Anatolij Łazarewicz - 2009 - Colloquia Communia 86 (1-2):149-163.
    No categories
    Translate
     
     
    Export citation  
     
    Bookmark  
  13. Mediatorzy w kulturze ludowej: Sacrum śmierci i gra w zmartwychwstanie.Anatolij Bakanurskij - 2003 - Humanistyka I Przyrodoznawstwo 9.
    No categories
    Translate
     
     
    Export citation  
     
    Bookmark  
  14.  1
    Badania z zakresu etyki w ZSRR.Anatolij Charczew - 1974 - Etyka 13:95-105.
    Direct download (2 more)  
    Translate
     
     
    Export citation  
     
    Bookmark  
  15.  11
    “Ukrainian Project” and It’s Discursive-Ethical Obstacles.Anatolij Karas - 2008 - Proceedings of the Xxii World Congress of Philosophy 50:309-315.
    The perspectives of Ukraine which are outlined by the notion of the “Ukrainian project”, and determined by potential of development of civil society, as congruent with perspectives of steady international development for the sake of collaboration and peace, are examined in the article. Determination of such basic analytical notions as discursive practices of “prevailing” and “understanding” is offered with this purpose. Discourse is considered as reason for choice and giving the advantage to one meaning over the others that is set (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  16. Dwanaście tez o platonizmie estetycznym.Anatolij Tichołaz - 2003 - Colloquia Communia 74 (1):437-447.
    No categories
    Translate
     
     
    Export citation  
     
    Bookmark  
  17. Rosjanie a państwo prawa.Anatołij H. Tichołaz - 1998 - Colloquia Communia 68 (1):85-92.
    No categories
    Translate
     
     
    Export citation  
     
    Bookmark  
  18. Sowiecki i postsowiecki mit w świetle filozofii mitologii.Anatołij H. Tichołaz - 1998 - Colloquia Communia 68 (1):43-50.
    No categories
    Translate
     
     
    Export citation  
     
    Bookmark  
  19. Filozofia i nauka: metodologiczne ujęcie perspektyw dialogu.Anatolij Zielenkow - 2009 - Colloquia Communia 86 (1-2):63-77.
    No categories
    Translate
     
     
    Export citation  
     
    Bookmark  
  20.  26
    On Gleason’s Theorem Without Gleason.David Buhagiar, Emmanuel Chetcuti & Anatolij Dvurečenskij - 2009 - Foundations of Physics 39 (6):550-558.
    The original proof of Gleason’s Theorem is very complicated and therefore, any result that can be derived also without the use of Gleason’s Theorem is welcome both in mathematics and mathematical physics. In this paper we reprove some known results that had originally been proved by the use of Gleason’s Theorem, e.g. that on the quantum logic ℒ(H) of all closed subspaces of a Hilbert space H, dim H≥3, there is no finitely additive state whose range is countably infinite. In (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  21.  14
    Bell-Type Inequalities and Orthomodular Lattices.Anatolij Dvurečenskij - 1999 - In Maria Luisa Dalla Chiara (ed.), Language, Quantum, Music. pp. 209--218.
  22.  92
    Bell-Type Inequalities in Horizontal Sums of Boolean Algebras.Anatolij Dvurečenskij & Helmut Länger - 1994 - Foundations of Physics 24 (8):1195-1202.
    We give a necessary and sufficient condition for a Bell-type inequality to hold in a horizontal sum of finitely many finite Boolean algebras.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  23.  28
    Connections Between BCK-Algebras and Difference Posetse.Anatolij Dvurečenskij & Hee Sik Kim - 1998 - Studia Logica 60 (3):421-439.
    We discuss the interrelations between BCK-algebras and posets with difference. Applications are given to bounded commutative BCK-algebras, difference posets, MV-algebras, quantum MV-algebras and orthoalgebras.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark  
  24.  9
    Finitely Additive States and Completeness of Inner Product Spaces.Anatolij Dvurečenskij, Tibor Neubrunn & Sylvia Pulmannová - 1990 - Foundations of Physics 20 (9):1091-1102.
    For any unit vector in an inner product space S, we define a mapping on the system of all ⊥-closed subspaces of S, F(S), whose restriction on the system of all splitting subspaces of S, E(S), is always a finitely additive state. We show that S is complete iff at least one such mapping is a finitely additive state on F(S). Moreover, we give a completeness criterion via the existence of a regular finitely additive state on appropriate systems of subspaces. (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  25.  2
    Lexicographic Pseudo MV-Algebras.Anatolij Dvurečenskij - 2015 - Journal of Applied Logic 13 (4):825-841.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  26.  43
    On Bilinear Forms From the Point of View of Generalized Effect Algebras.Anatolij Dvurečenskij & Jiří Janda - 2013 - Foundations of Physics 43 (9):1136-1152.
    We study positive bilinear forms on a Hilbert space which are not necessarily bounded nor induced by some positive operator. We show when different families of bilinear forms can be described as a generalized effect algebra. In addition, we present families which are or are not monotone downwards (Dedekind upwards) σ-complete generalized effect algebras.
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark  
  27.  11
    Perfect Effect Algebras and Spectral Resolutions of Observables.Anatolij Dvurečenskij - 2019 - Foundations of Physics 49 (6):607-628.
    We study perfect effect algebras, that is, effect algebras with the Riesz decomposition property where every element belongs either to its radical or to its co-radical. We define perfect effect algebras with principal radical and we show that the category of such effect algebras is categorically equivalent to the category of unital po-groups with interpolation. We introduce an observable on a \-monotone \-complete perfect effect algebra with principal radical and we show that observables are in a one-to-one correspondence with spectral (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  28.  15
    Smearing of Observables and Spectral Measures on Quantum Structures.Anatolij Dvurečenskij - 2013 - Foundations of Physics 43 (2):210-224.
    An observable on a quantum structure is any σ-homomorphism of quantum structures from the Borel σ-algebra of the real line into the quantum structure which is in our case a monotone σ-complete effect algebra with the Riesz Decomposition Property. We show that every observable is a smearing of a sharp observable which takes values from a Boolean σ-subalgebra of the effect algebra, and we prove that for every element of the effect algebra there corresponds a spectral measure.
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark  
  29.  4
    An Approach to Stochastic Processes Via Non-Classical Logic.Antonio Di Nola, Anatolij Dvurečenskij & Serafina Lapenta - 2021 - Annals of Pure and Applied Logic 172 (9):103012.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  30. List of Contents: Volume 14, Number 5, October 2001 Jose L. Cereceda: Identification of All Hardy-Type Correlations for Two Photons or Particles with Spin\ Anatolij Dvurecenskij and Thomas Vetterlein: Congruences and States on Pseudoeffect Algebras. [REVIEW]T. S. Biro, S. G. Matinyan & B. Muller - 2002 - Foundations of Physics 32 (1-3):187.
  31.  41
    Book Review: New Trends in Quantum Structures. Anatolij Dvurečenskij and Sylvia Pulmannová. Kluwer Academic Publishers, Dordrecht, 2000, I-Xvi, 1-541, $185 (Hardcover). [REVIEW]Stanley P. Gudder - 2001 - Foundations of Physics 31 (5):863-865.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  32.  22
    From "word-images" to "chapter-shots": The imaginist montage of Anatolij Mariengof.Tomi Huttunen - 2000 - Sign Systems Studies 28:181-197.
    From "word-images' to "chapter-shots: The irnagiuist montage of Anatolij Mariengof. The article discusses the three dominant imaginist principles of Anatolij Mariengofs (1897-1962) poetic technique, as they are translated into prose in his first fictional novel Cynics (1928). These principles include the "catalogue of images", a genre introduced by Vadim Shershenevich, i.e. poetry formed of nouns, which Mariengof makes use of in his longer imaginist poems. Another dominant imaginist principle, to which Mariengof referred in his theoretic articles and poetic (...)
    No categories
    Direct download (2 more)  
    Translate
     
     
    Export citation  
     
    Bookmark  
  33.  14
    From the Apocalypse to the Revolution.L. Pellicani - 2014 - Télos 2014 (166):25-41.
    "The revolutionary desire to realize the Kingdom of God is the beginning of modern history." "Friedrich Schlegel" "The world has to be purified, recreated." "Anatolij Lunačarskij" "Ubi Lenin, ibi Israel." "Ernst Bloch" "Socialism is the religion that will kill off Christianity." "Antonio Gramsci"I. The Millennial Vision of History The millennialism that penetrated the heart of western civilization was one of the most incisive and enduring results of the spiritual victory of Christianity over the Greco-Roman culture. This is a vision (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  34.  15
    From.Tomi Huttunen - 2000 - Sign Systems Studies 28:181-197.
    From "word-images' to "chapter-shots: The irnagiuist montage of Anatolij Mariengof. The article discusses the three dominant imaginist principles of Anatolij Mariengofs poetic technique, as they are translated into prose in his first fictional novel Cynics. These principles include the "catalogue of images", a genre introduced by Vadim Shershenevich, i.e. poetry formed of nouns, which Mariengof makes use of in his longer imaginist poems. Another dominant imaginist principle, to which Mariengof referred in his theoretic articles and poetic texts, is (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  35.  2
    Montage in Russian Imaginism: Poetry, Theatre and Theory.Tomi Huttunen - 2013 - Sign Systems Studies 41 (2/3):219-229.
    The article discusses the concept of montage as used by the Russian Imaginist poetic group: the montage principle in their poetry, theoretical writings and theatre articles. The leading Imaginist figures Vadim Shershenevich and Anatolij Mariengof were active both in theorizing and practising montage in their oeuvre at the beginning of the 1920s. Shershenevich’s application of the principle in poetry was called “image catalogue”, a radical poetic experiment in the spirit of both Walt Whitman and Sergei Eisenstein. Mariengof ’s main (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark