Some properties of pseudo-BCI algebras

Grzegorz Dymek

Commentationes Mathematicae (2018)

  • Volume: 58, Issue: 1-2
  • ISSN: 2080-1211

Abstract

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In this paper the notion of an essential closed deductive system of a pseudo-BCI algebra is defined and investigated. Among other things, it is proved that such a deductive system contains all coatoms of the pseudo-BCI algebra. Also, the notions of homomorphisms and semihomomorphisms of pseudo-BCI algebras are studied and some of their properties are presented.

How to cite

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Grzegorz Dymek. "Some properties of pseudo-BCI algebras." Commentationes Mathematicae 58.1-2 (2018): null. <http://eudml.org/doc/295126>.

@article{GrzegorzDymek2018,
abstract = {In this paper the notion of an essential closed deductive system of a pseudo-BCI algebra is defined and investigated. Among other things, it is proved that such a deductive system contains all coatoms of the pseudo-BCI algebra. Also, the notions of homomorphisms and semihomomorphisms of pseudo-BCI algebras are studied and some of their properties are presented.},
author = {Grzegorz Dymek},
journal = {Commentationes Mathematicae},
keywords = {Pseudo-BCI algebra; deductive system; homomorphism},
language = {eng},
number = {1-2},
pages = {null},
title = {Some properties of pseudo-BCI algebras},
url = {http://eudml.org/doc/295126},
volume = {58},
year = {2018},
}

TY - JOUR
AU - Grzegorz Dymek
TI - Some properties of pseudo-BCI algebras
JO - Commentationes Mathematicae
PY - 2018
VL - 58
IS - 1-2
SP - null
AB - In this paper the notion of an essential closed deductive system of a pseudo-BCI algebra is defined and investigated. Among other things, it is proved that such a deductive system contains all coatoms of the pseudo-BCI algebra. Also, the notions of homomorphisms and semihomomorphisms of pseudo-BCI algebras are studied and some of their properties are presented.
LA - eng
KW - Pseudo-BCI algebra; deductive system; homomorphism
UR - http://eudml.org/doc/295126
ER -

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