Results 221 to 230 of about 421,354 (246)
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Products of Ideals in MV -algebras
Journal of Applied Non-Classical Logics, 2001We look at a hierarchical arrangement of ideals in an MV -algebra. The principal classes of ideals studied are the maximals, the primes, the local and perfect ideals and the semi-locals. Beyond these special classes of ideals are the general ideals. Herein we study some relationships among these classes and, more specifically, the products of ideals of
L. P. BELLUCE +2 more
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Representations of MV-algebras by sheaves
Math. Log. Q., 2011The authors propose a representation of MV-algebras in terms of sheaves having local MV-algebras as stalks. Their approach differs from the one of \textit{A. Filipoiu} and \textit{G. Georgescu} [Rev. Roum. Math. Pures Appl. 40, No. 7--8, 599--618 (1995, Zbl 0854.06014)] since they consider the spectrum of prime ideals and not the maximal ideals as in ...
R. Ferraioli, LETTIERI, ADA
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Czechoslovak Mathematical Journal, 2003
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The Tensor PMV-algebra of an MV-algebra
2011 41st IEEE International Symposium on Multiple-Valued Logic, 2011The classical construction of tensor algebra is done in the context of MV-algebras. We construct the tensor PMV-algebra of an MV-algebra, which yields an adjunction between the category of MV-algebras and the category of PMV-algebras. In particular, for any MV-algebra A, the tensor PMV-algebra of A is the free PMV-algebra over A.
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On the probability theory on MV algebras
Soft Computing, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Pseudo-MV algebras as \(L\)-algebras
J. Multiple Valued Log. Soft Comput., 2012Summary: Pseudo-MV algebras are viewed as an algebraic framework of ``noncommutative'' reasoning with two negations. In this paper, we observe that pseudo-MV algebras can be described as monoids with a single negation. This leads to a characterization of pseudo-MV algebras as semiregular \(L\)-algebras with negation, especially, the proof neither makes
Yichuan Yang, Wolfgang Rump
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The Tetrahedron algebra, the Onsager algebra, and the
Journal of Algebra, 2007Paul Terwilliger
exaly

