Lex-ideals of DR$\ell $-monoids and GMV-algebras

Dana Šalounová

Direct product factors in GMV-algebras

Jiří Rachůnek, Dana Šalounová (2005)

Mathematica Slovaca

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Lexicographic extensions of dually residuated lattice ordered monoids

Jiří Rachůnek, Dana Šalounová (2004)

Mathematica Bohemica

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Dually residuated lattice ordered monoids ( $D R ℓ$ -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 $D R ℓ$ -monoids (which need not be commutative or bounded) satisfying a certain natural condition are studied.

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Polars and annihilators in representable $DRl$ -monoids and $MV$ -algebras

Direct product factors in GMV-algebras

Lexicographic extensions of dually residuated lattice ordered monoids

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

Polars and annihilators in representable DRl -monoids and MV -algebras

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

Polars and annihilators in representable $DRl$ -monoids and $MV$ -algebras