EUDML | Connections between ideals of non-commutative generalizations of $MV$-algebras and ideals of their underlying lattices

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Displaying similar documents to “Connections between ideals of non-commutative generalizations of $M V$ -algebras and ideals of their underlying lattices”

Ideals, $ℓ$ -rings and ${MV}^{☆}$ -algebras

Antonio Di Nola, George Georgescu (2001)

Mathematica Slovaca

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Using maximal ideals in the classification of MV-algebras

Di Nola, Antonio, Liguori, Fortunata, Sessa, Salvatore (1993)

Portugaliae mathematica

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On annihilators of BCK-algebras

H. A. S. Abujabal, M. A. Obaid, M. Aslam, Allah-Bakhsh Thaheem (1995)

Czechoslovak Mathematical Journal

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Topological representations of distributive lattices and Brouwerian logics

Marshall Harvey Stone (1938)

Časopis pro pěstování matematiky a fysiky

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Maximal and essential ideals of MV-álgebras.

Cheong Seng Hoo (1995)

Mathware and Soft Computing

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Congruences and ideals in lattice effect algebras as basic algebras

Sylvia Pulmannová, Elena Vinceková (2009)

Kybernetika

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Effect basic algebras (which correspond to lattice ordered effect algebras) are studied. Their ideals are characterized (in the language of basic algebras) and one-to-one correspondence between ideals and congruences is shown. Conditions under which the quotients are OMLs or MV-algebras are found.