A non-commutative generalization of MV-algebras
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- 1 June 2002
- journal article
- Published by Institute of Mathematics, Czech Academy of Sciences in Czechoslovak Mathematical Journal
- Vol. 52 (2) , 255-273
- https://doi.org/10.1023/a:1021766309509
Abstract
Summary:A generalized $MV$-algebra $\mathcal A$ is called representable if it is a subdirect product of linearly ordered generalized $MV$-algebras. Let $S$ be the system of all congruence relations $\rho $ on $\mathcal A$ such that the quotient algebra $\mathcal A/\rho $ is representable. In the present paper we prove that the system $S$ has a least element
Keywords
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