On maximal ideals of pseudo M V -algebras

Grzegorz Dymek; Andrzej Walendziak

Commentationes Mathematicae (2007)

  • Volume: 47, Issue: 1
  • ISSN: 2080-1211

Abstract

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We investigate maximal ideals of pseudo MV-algebras and give some characterizations of them. Some properties of a family of maximal ideals of a pseudo MV-algebra generating this algebra are shown as well. Finally, we are interested in finding an example of a pseudo MV-algebra generated by its maximal ideal.

How to cite

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Grzegorz Dymek, and Andrzej Walendziak. "On maximal ideals of pseudo $MV$-algebras." Commentationes Mathematicae 47.1 (2007): null. <http://eudml.org/doc/292005>.

@article{GrzegorzDymek2007,
abstract = {We investigate maximal ideals of pseudo MV-algebras and give some characterizations of them. Some properties of a family of maximal ideals of a pseudo MV-algebra generating this algebra are shown as well. Finally, we are interested in finding an example of a pseudo MV-algebra generated by its maximal ideal.},
author = {Grzegorz Dymek, Andrzej Walendziak},
journal = {Commentationes Mathematicae},
keywords = {pseudo MV-algebra; ideal; maximal (implicative) ideal},
language = {eng},
number = {1},
pages = {null},
title = {On maximal ideals of pseudo $MV$-algebras},
url = {http://eudml.org/doc/292005},
volume = {47},
year = {2007},
}

TY - JOUR
AU - Grzegorz Dymek
AU - Andrzej Walendziak
TI - On maximal ideals of pseudo $MV$-algebras
JO - Commentationes Mathematicae
PY - 2007
VL - 47
IS - 1
SP - null
AB - We investigate maximal ideals of pseudo MV-algebras and give some characterizations of them. Some properties of a family of maximal ideals of a pseudo MV-algebra generating this algebra are shown as well. Finally, we are interested in finding an example of a pseudo MV-algebra generated by its maximal ideal.
LA - eng
KW - pseudo MV-algebra; ideal; maximal (implicative) ideal
UR - http://eudml.org/doc/292005
ER -

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