Displaying similar documents to “Direct product decompositions of pseudo M V -algebras”

Direct product decompositions of pseudo MV-algebras

Ján Jakubík (2001)

Archivum Mathematicum

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In this paper we deal with the relations between the direct product decompositions of a pseudo M V -algebra and the direct product decomposicitons of its underlying lattice.

Remarks on pseudo MV-algebras

Ivan Chajda, Miroslav Kolařík (2009)

Discussiones Mathematicae - General Algebra and Applications

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Pseudo MV-algebras (see e.g., [4, 6, 8]) are non-commutative extension of MV-algebras. We show that every pseudo MV-algebra is isomorphic to the algebra of action functions where the binary operation is function composition, zero is x ∧ y and unit is x. Then we define the so-called difference functions in pseudo MV-algebras and show how a pseudo MV-algebra can be reconstructed by them.

Maximal completion of a pseudo MV-algebra

Ján Jakubík (2003)

Archivum Mathematicum

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In the present paper we investigate the relations between maximal completions of lattice ordered groups and maximal completions of pseudo M V -algebras.