Banaschewski’s theorem for generalized $MV$-algebras

Ján Jakubík

Displaying similar documents to “Banaschewski’s theorem for generalized $M V$ -algebras”

State-homomorphisms on $M V$ -algebras

Ján Jakubík (2001)

Czechoslovak Mathematical Journal

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Riečan [12] and Chovanec [1] investigated states in $M V$ -algebras. Earlier, Riečan [11] had dealt with analogous ideas in $D$ -posets. In the monograph of Riečan and Neubrunn [13] (Chapter 9) the notion of state is applied in the theory of probability on $M V$ -algebras. We remark that a different definition of a state in an $M V$ -algebra has been applied by Mundici [9], [10] (namely, the condition (iii) from Definition 1.1 above was not included in his definition of a state; in other words, only finite...

On intervals and isometries of $M V$ -algebras

Ján Jakubík (2002)

Czechoslovak Mathematical Journal

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Let Int $𝒜$ be the lattice of all intervals of an $M V$ -algebra $𝒜$ . In the present paper we investigate the relations between direct product decompositions of $𝒜$ and (i) the lattice Int $𝒜$ , or (ii) 2-periodic isometries on $𝒜$ , respectively.

Isometries of generalized $M V$ -algebras

Ján Jakubík (2007)

Czechoslovak Mathematical Journal

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In this paper we investigate the relations between isometries and direct product decompositions of generalized $M V$ -algebras.

Displaying similar documents to “Banaschewski’s theorem for generalized M V -algebras”

State-homomorphisms on M V -algebras

On intervals and isometries of M V -algebras

Isometries of generalized M V -algebras

Displaying similar documents to “Banaschewski’s theorem for generalized $M V$ -algebras”

State-homomorphisms on $M V$ -algebras

On intervals and isometries of $M V$ -algebras

Isometries of generalized $M V$ -algebras