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Higher degrees of distributivity in complete generalized $MV$-algebras

In: Mathematica Slovaca, vol. 61, no. 3
Ján Jakubík

Details:

Year, pages: 2011, 341 - 354
Keywords:
generalized $MV$-algebra, completeness, higher degrees of distributivity, direct product
About article:
We apply the notion of generalized $MV$-algebra ($GMV$-algebra, in short) in the sense of Galatos and Tsinakis. Let $\mathbf{M}$ be a complete $GMV$-algebra and let $α$ be a cardinal. We prove that $\mathbf{M}$ is $α$-distributive if and only if it is $(α, 2)$-distributive. We deal with direct summands of $\mathbf{M}$ which are homogeneous with respect to higher degrees of distributivity.
How to cite:
ISO 690:
Jakubík, J. 2011. Higher degrees of distributivity in complete generalized $MV$-algebras. In Mathematica Slovaca, vol. 61, no.3, pp. 341-354. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0016-3

APA:
Jakubík, J. (2011). Higher degrees of distributivity in complete generalized $MV$-algebras. Mathematica Slovaca, 61(3), 341-354. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0016-3
About edition: