Direct summands and retract mappings of generalized M V -algebras

Ján Jakubík

Czechoslovak Mathematical Journal (2008)

  • Volume: 58, Issue: 1, page 183-202
  • ISSN: 0011-4642

Abstract

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In the present paper we deal with generalized M V -algebras ( G M V -algebras, in short) in the sense of Galatos and Tsinakis. According to a result of the mentioned authors, G M V -algebras can be obtained by a truncation construction from lattice ordered groups. We investigate direct summands and retract mappings of G M V -algebras. The relations between G M V -algebras and lattice ordered groups are essential for this investigation.

How to cite

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Jakubík, Ján. "Direct summands and retract mappings of generalized $MV$-algebras." Czechoslovak Mathematical Journal 58.1 (2008): 183-202. <http://eudml.org/doc/31207>.

@article{Jakubík2008,
abstract = {In the present paper we deal with generalized $MV$-algebras ($GMV$-algebras, in short) in the sense of Galatos and Tsinakis. According to a result of the mentioned authors, $GMV$-algebras can be obtained by a truncation construction from lattice ordered groups. We investigate direct summands and retract mappings of $GMV$-algebras. The relations between $GMV$-algebras and lattice ordered groups are essential for this investigation.},
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {residuated lattice; lattice ordered group; generalized $MV$-algebra; direct summand; residuated lattice; lattice-ordered group; generalized MV-algebra; direct summand},
language = {eng},
number = {1},
pages = {183-202},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Direct summands and retract mappings of generalized $MV$-algebras},
url = {http://eudml.org/doc/31207},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Jakubík, Ján
TI - Direct summands and retract mappings of generalized $MV$-algebras
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 1
SP - 183
EP - 202
AB - In the present paper we deal with generalized $MV$-algebras ($GMV$-algebras, in short) in the sense of Galatos and Tsinakis. According to a result of the mentioned authors, $GMV$-algebras can be obtained by a truncation construction from lattice ordered groups. We investigate direct summands and retract mappings of $GMV$-algebras. The relations between $GMV$-algebras and lattice ordered groups are essential for this investigation.
LA - eng
KW - residuated lattice; lattice ordered group; generalized $MV$-algebra; direct summand; residuated lattice; lattice-ordered group; generalized MV-algebra; direct summand
UR - http://eudml.org/doc/31207
ER -

References

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