Displaying similar documents to “Lex-ideals of DR -monoids and GMV-algebras”

Lexicographic extensions of dually residuated lattice ordered monoids

Jiří Rachůnek, Dana Šalounová (2004)

Mathematica Bohemica

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Dually residuated lattice ordered monoids ( D R -monoids) are common generalizations of, e.g., lattice ordered groups, Brouwerian algebras and algebras of logics behind fuzzy reasonings ( M V -algebras, B L -algebras) and their non-commutative variants ( G M V -algebras, pseudo B L -algebras). In the paper, lex-extensions and lex-ideals of D R -monoids (which need not be commutative or bounded) satisfying a certain natural condition are studied.