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  1.  28
    Yosida Type Representation for Perfect MV‐Algebras.Lawrence P. Belluce & Antonio Di Nola - 1996 - Mathematical Logic Quarterly 42 (1):551-563.
    In [9] Mundici introduced a categorical equivalence Γ between the category of MV-algebras and the category of abelian [MATHEMATICAL SCRIPT SMALL L]-groups with strong unit. Using Mundici's functor Γ, in [8] the authors established an equivalence between the category of perfect MV-algebras and the category of abelian [MATHEMATICAL SCRIPT SMALL L]-groups. Aim of the present paper is to use the above functors to provide Yosida like representations of a large class of MV-algebras.
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  2.  27
    Commutative rings whose ideals form an MV‐algebra.Lawrence P. Belluce & Antonio Di Nola - 2009 - Mathematical Logic Quarterly 55 (5):468-486.
    In this work we introduce a class of commutative rings whose defining condition is that its lattice of ideals, augmented with the ideal product, the semi-ring of ideals, is isomorphic to an MV-algebra. This class of rings coincides with the class of commutative rings which are direct sums of local Artinian chain rings with unit.
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  3.  47
    Algebraic geometry for mv-algebras.Lawrence P. Belluce, Antonio di Nola & Giacomo Lenzi - 2014 - Journal of Symbolic Logic 79 (4):1061-1091.
  4.  34
    Perfect MV-Algebras and l-Rings.Lawrence P. Belluce, Antonio Di Nola & George Georgescu - 1999 - Journal of Applied Non-Classical Logics 9 (1):159-172.
    ABSTRACT In this paper we shall prove that l-rings are categorally equivalent to the MV*-algebras, a subcategory of perfect MV-algebras. We shall use this equivalence in order to characterize l-rings as quotients of certain semirings of matrices over MV*-algebras. We shall establish a relation between l-ideals in l-rings and some ideals in MV*-algebras. This edlows us to study the MV* f-algebras, a subclass of the MV*-algebras corresponding to the f-rings.
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