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In: Mathematica Slovaca, vol. 55, no. 4

# Direct product factors in $GMV$-algebras

Jiří Rachůnek - Dana Šalounová

ISSN 0139-9918 (print)

Year, pages: 2005, 399-407

Published: 0000-00-00

Abstract:

$GMV$-algebras are non-commutative generalizations of $MV$-algebras and by A. Dvurečenskij they can be represented as intervals of unital lattice ordered groups. Moreover, they are polynomially equivalent to dually residuated $\ell$-monoids ($DR\ell$-monoids) from a certain variety of $DR\ell$-monoids. In the paper, using these correspondences, direct product factors in $GMV$-algebras are introduced and studied and the lattices of direct factors are described. Further, the polars of projectable $GMV$@-algebras are described.

How to cite:

ISO 690:
Rachůnek, J., Šalounová, D. 2005. Direct product factors in $GMV$-algebras. In Mathematica Slovaca, vol. 55, no.4, pp. 399-407. 0139-9918.

APA:
Rachůnek, J., Šalounová, D. (2005). Direct product factors in $GMV$-algebras. Mathematica Slovaca, 55(4), 399-407. 0139-9918.