Isometries and direct product decompositions of GMV-algebras

In: Mathematica Slovaca, vol. 60, no. 5

Ján Jakubík

Detaily:

Rok, strany: 2010, 591 - 606

Kľúčové slová:

GMV-algebra, isometry, internal direct product decomposition

DOI: https://doi.org/10.2478/s12175-010-0034-6

O článku:

We apply the concept of generalized MV-algebra (GMV-algebra, for short) in the sense defined and studied by Galatos and Tsinakis. We introduce the notion of isometry of a GMV-algebra; we investigate the relations between isometries and direct product decompositions of GMV-algebras. Using these relations we show that if a GMV-algebra $\underline{M}$ has a greatest element, then each isometry of $\underline{M}$ is idempotent.

Ako citovať:

ISO 690:

Jakubík, J. 2010. Isometries and direct product decompositions of GMV-algebras. In Mathematica Slovaca, vol. 60, no.5, pp. 591-606. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0034-6

APA:

Jakubík, J. (2010). Isometries and direct product decompositions of GMV-algebras. Mathematica Slovaca, 60(5), 591-606. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0034-6

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