Maximal and essential ideals of MV-álgebras.

Cheong Seng Hoo

Displaying similar documents to “Maximal and essential ideals of MV-álgebras.”

Molecules and linerly ordered ideals of MV-algebras.

C. S. Hoo (1997)

Publicacions Matemàtiques

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We show that an ideal I of an MV-algebra A is linearly ordered if and only if every non-zero element of I is a molecule. The set of molecules of A is contained in Inf(A) ∪ B(A) where B(A) is the set of all elements x ∈ A such that 2x is idempotent. It is shown that I ≠ {0} is weakly essential if and only if B ⊂ B(A). Connections are shown among the classes of ideals that have various combinations of the properties of being implicative, essential, weakly essential, maximal or prime. ...

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

Antonio Di Nola, George Georgescu (2001)

Mathematica Slovaca

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Connections between ideals of non-commutative generalizations of $M V$ -algebras and ideals of their underlying lattices

Jiří Rachůnek (2001)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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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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Displaying similar documents to “Maximal and essential ideals of MV-álgebras.”

Molecules and linerly ordered ideals of MV-algebras.

Ideals, ℓ -rings and MV ☆ -algebras

Connections between ideals of non-commutative generalizations of M V -algebras and ideals of their underlying lattices

Using maximal ideals in the classification of MV-algebras

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

Connections between ideals of non-commutative generalizations of $M V$ -algebras and ideals of their underlying lattices