Displaying similar documents to “Approximation Spacesin Non-commutative Generalizations of M V -algebras”

State-homomorphisms on M V -algebras

Ján Jakubík (2001)

Czechoslovak Mathematical Journal

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Riečan [12] and Chovanec [1] investigated states in M V -algebras. Earlier, Riečan [11] had dealt with analogous ideas in D -posets. In the monograph of Riečan and Neubrunn [13] (Chapter 9) the notion of state is applied in the theory of probability on M V -algebras. We remark that a different definition of a state in an M V -algebra has been applied by Mundici [9], [10] (namely, the condition (iii) from Definition 1.1 above was not included in his definition of a state; in other words, only finite...

Enriched MV-algebras.

Ulrich Höhle (1995)

Mathware and Soft Computing

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This paper introduces the structure of enriched MV-algebras and studies on this basis various relations between sigma-complete MV-algebras and T-tribes.

Epimorphisms between finite MV-algebras

Aldo V. Figallo, Marina B. Lattanzi (2017)

Mathematica Bohemica

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MV-algebras were introduced by Chang to prove the completeness of the infinite-valued Łukasiewicz propositional calculus. Recently, algebraic theory of MV-algebras has been intensively studied. Wajsberg algebras are just a reformulation of Chang MV-algebras where implication is used instead of disjunction. Using these equivalence, in this paper we provide conditions for the existence of an epimorphism between two finite MV-algebras A and B . Specifically, we define the mv-functions with...

Axiomatizing quantum MV-algebras.

Roberto Giuntini (1997)

Mathware and Soft Computing

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We introduce the notion of p-ideal of a QMV-algebra and we prove that the class of all p-ideals of a QMV-algebra M is in one-to-one correspondence with the class of all congruence relations of M.