Maximal MV-algebras.

Alexandru Filipoiu; George Georgescu; Ada Lettieri

Mathware and Soft Computing (1997)

  • Volume: 4, Issue: 1, page 53-62
  • ISSN: 1134-5632

Abstract

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In this paper we define maximal MV-algebras, a concept similar to the maximal rings and maximal distributive lattices. We prove that any maximal MV-algebra is semilocal, then we characterize a maximal MV-algebra as finite direct product of local maximal MV-algebras.

How to cite

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Filipoiu, Alexandru, Georgescu, George, and Lettieri, Ada. "Maximal MV-algebras.." Mathware and Soft Computing 4.1 (1997): 53-62. <http://eudml.org/doc/39098>.

@article{Filipoiu1997,
abstract = {In this paper we define maximal MV-algebras, a concept similar to the maximal rings and maximal distributive lattices. We prove that any maximal MV-algebra is semilocal, then we characterize a maximal MV-algebra as finite direct product of local maximal MV-algebras.},
author = {Filipoiu, Alexandru, Georgescu, George, Lettieri, Ada},
journal = {Mathware and Soft Computing},
keywords = {Algebras; Ideal maximal; Lógica multivaluada; Grupos localmente finitos; Chinese Remainder Theorem; ideals; maximal MV-algebra; semi-local; direct product; local},
language = {eng},
number = {1},
pages = {53-62},
title = {Maximal MV-algebras.},
url = {http://eudml.org/doc/39098},
volume = {4},
year = {1997},
}

TY - JOUR
AU - Filipoiu, Alexandru
AU - Georgescu, George
AU - Lettieri, Ada
TI - Maximal MV-algebras.
JO - Mathware and Soft Computing
PY - 1997
VL - 4
IS - 1
SP - 53
EP - 62
AB - In this paper we define maximal MV-algebras, a concept similar to the maximal rings and maximal distributive lattices. We prove that any maximal MV-algebra is semilocal, then we characterize a maximal MV-algebra as finite direct product of local maximal MV-algebras.
LA - eng
KW - Algebras; Ideal maximal; Lógica multivaluada; Grupos localmente finitos; Chinese Remainder Theorem; ideals; maximal MV-algebra; semi-local; direct product; local
UR - http://eudml.org/doc/39098
ER -

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