Ideals in BCK-algebras which are lower semilattices

Bulletin of the Section of Logic 10 (1):48-50 (1981)
  Copy   BIBTEX

Abstract

It was shown in [1] that if X is a BCK-algebra then is a poset, and moreover if X is a commutative BCK-algebra, i.e. x = y holds in X, then is a lower semilattice. In this paper we consider properties of certain ideals in these BCK-algebras which are lower semilattices as referred to [1] and [2]. The following example shows that the class of BCK-algebras considered here is considerably wider than the class of commulative BCK-algebras

Categories

Keywords

Reprint years

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,150

External links

  • This entry has no external links. Add one.
Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Pseudo equality algebras.Sándor Jenei & László Kóródi - 2013 - Archive for Mathematical Logic 52 (5-6):469-481.
Pure Hilbert Algebras with Infimum.Aldo Figallo Jr - 2007 - Logic Journal of the IGPL 15 (5-6):527-533.
Hyper MV -ideals in hyper MV -algebras.Lida Torkzadeh & Afsaneh Ahadpanah - 2010 - Mathematical Logic Quarterly 56 (1):51-62.
Representations of MV-algebras by sheaves.Anna R. Ferraioli & Ada Lettieri - 2011 - Mathematical Logic Quarterly 57 (1):27-43.
On Generalized I-algebras And 4-valued Modal Algebras.Aldo Figallo & Paolo Landini - 1995 - Reports on Mathematical Logic:3-18.
On the free implicative semilattice extension of a Hilbert algebra.Sergio A. Celani & Ramon Jansana - 2012 - Mathematical Logic Quarterly 58 (3):188-207.
Commutative rings whose ideals form an MV‐algebra.Lawrence P. Belluce & Antonio Di Nola - 2009 - Mathematical Logic Quarterly 55 (5):468-486.
σ-short Boolean algebras.Makoto Takahashi & Yasuo Yoshinobu - 2003 - Mathematical Logic Quarterly 49 (6):543-549.
Cyclic Elements in MV‐Algebras and Post Algebras.Antoni Torrens - 1994 - Mathematical Logic Quarterly 40 (4):431-444.
Bounded BCK‐algebras and their generated variety.Joan Gispert & Antoni Torrens - 2007 - Mathematical Logic Quarterly 53 (2):206-213.
Monadic GMV-algebras.Jiří Rachůnek & Dana Šalounová - 2008 - Archive for Mathematical Logic 47 (3):277-297.
Quantum MV algebras.Roberto Giuntini - 1996 - Studia Logica 56 (3):393 - 417.
Lower level connections between representations of relation algebras.György Serény - 1986 - Bulletin of the Section of Logic 15 (3):123-125.
Some Boolean Algebras with Finitely Many Distinguished Ideals I.Regina Aragón - 1995 - Mathematical Logic Quarterly 41 (4):485-504.

Analytics

Added to PP
2015-02-02

Downloads
0

6 months
0

Historical graph of downloads

Sorry, there are not enough data points to plot this chart.
How can I increase my downloads?

Citations of this work

Add more citations

References found in this work

No references found.

Add more references