# Direct product decompositions of pseudo $MV$-algebras

Archivum Mathematicum (2001)

- Volume: 037, Issue: 2, page 131-142
- ISSN: 0044-8753

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topJakubík, Ján. "Direct product decompositions of pseudo $MV$-algebras." Archivum Mathematicum 037.2 (2001): 131-142. <http://eudml.org/doc/262058>.

@article{Jakubík2001,

abstract = {In this paper we deal with the relations between the direct product decompositions of a pseudo $MV$-algebra and the direct product decomposicitons of its underlying lattice.},

author = {Jakubík, Ján},

journal = {Archivum Mathematicum},

keywords = {pseudo $MV$-algebra; direct product decomposition; pseudo MV-algebra; direct product decomposition},

language = {eng},

number = {2},

pages = {131-142},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Direct product decompositions of pseudo $MV$-algebras},

url = {http://eudml.org/doc/262058},

volume = {037},

year = {2001},

}

TY - JOUR

AU - Jakubík, Ján

TI - Direct product decompositions of pseudo $MV$-algebras

JO - Archivum Mathematicum

PY - 2001

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 037

IS - 2

SP - 131

EP - 142

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

LA - eng

KW - pseudo $MV$-algebra; direct product decomposition; pseudo MV-algebra; direct product decomposition

UR - http://eudml.org/doc/262058

ER -

## References

top- Ideals and congruences in generalized $MV$-algebras, Demonstratio Math. (to appear). (to appear) MR1769414
- 10.1007/978-94-015-9480-6, Kluwer Academic Publishers, Dordrecht, 2000. (2000) MR1786097DOI10.1007/978-94-015-9480-6
- New Trends in Quantum Structures, Kluwer Academic Publishers, Dordrecht-Boston-London and Ister Science, Bratislava, 2000. (2000) MR1861369
- Pseudo $MV$-algebras are intervals in $\ell $-groups, J. Austral. Math. Soc. (to appear). (to appear)
- Pseudo $MV$-algebras: a noncommutative extension of $MV$-algebras, In: The Proceedings of the Fourth International Symposium on Economic Informatics, Bucharest, 6–9 May, Romania, 1999, pp. 961–968. (1999) MR1730100
- Pseudo $MV$-algebras, Multiple-Valued Logic (a special issue dedicated to Gr. C. Moisil) 6 (2001), 95–135. (2001) MR1817439
- 10.2307/1969532, Annals of Math. 54 (1951), 315–318. (1951) MR0043067DOI10.2307/1969532
- Direct products of $MV$-algebras, Czechoslovak Math. J. 44 (1994), 725–739. (1994)
- Convex chains in a pseudo $MV$-algebra, Czechoslovak Math. J. (to appear). (to appear) MR1962003
- Local pseudo $MV$-algebras, (submitted). Zbl0992.06011
- A non-commutative generalization of $MV$-algebras, Czechoslovak Math. J. (to appear). (to appear) MR1905434
- Prime spectra of non-commutative generalizations of $MV$-algebras, (submitted).

## Citations in EuDML Documents

top- Ján Jakubík, On varieties of pseudo $MV$-algebras
- Ján Jakubík, Convex chains in a pseudo MV-algebra
- Ján Jakubík, On intervals and the dual of a pseudo MV-algebra
- Jiří Rachůnek, Dana Šalounová, Direct product factors in GMV-algebras
- Ján Jakubík, Direct product decompositions of bounded commutative residuated $\ell $-monoids
- Ján Jakubík, Isometries of generalized $MV$-algebras
- Ján Jakubík, Direct product decompositions of pseudo effect algebras
- Ján Jakubík, On interval subalgebras of generalized MV-algebras
- Ján Jakubík, Direct summands and retract mappings of generalized $MV$-algebras
- Ján Jakubík, On a homogeneity condition for $MV$-algebras

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