On ideals of pseudo-BCH-algebras

Andrzej Walendziak

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2016)

  • Volume: 70, Issue: 1
  • ISSN: 0365-1029

Abstract

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In this paper we introduce the notion of a disjoint union of pseudo-BCH-algebras and describe ideals in such algebras. We also investigate ideals of direct products of pseudo-BCH-algebras. Moreover, we establish conditions for the set of all minimal elements of a pseudo-BCH-algebra X to be an ideal of X.

How to cite

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Andrzej Walendziak. "On ideals of pseudo-BCH-algebras." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 70.1 (2016): null. <http://eudml.org/doc/289738>.

@article{AndrzejWalendziak2016,
abstract = {In this paper we introduce the notion of a disjoint union of pseudo-BCH-algebras and describe ideals in such algebras. We also investigate ideals of direct products of pseudo-BCH-algebras. Moreover, we establish conditions for the set of all minimal elements of a pseudo-BCH-algebra X to be an ideal of X.},
author = {Andrzej Walendziak},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {(Pseudo-)BCK/BCI/BCH-algebra; disjoint union; ideal; centre},
language = {eng},
number = {1},
pages = {null},
title = {On ideals of pseudo-BCH-algebras},
url = {http://eudml.org/doc/289738},
volume = {70},
year = {2016},
}

TY - JOUR
AU - Andrzej Walendziak
TI - On ideals of pseudo-BCH-algebras
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2016
VL - 70
IS - 1
SP - null
AB - In this paper we introduce the notion of a disjoint union of pseudo-BCH-algebras and describe ideals in such algebras. We also investigate ideals of direct products of pseudo-BCH-algebras. Moreover, we establish conditions for the set of all minimal elements of a pseudo-BCH-algebra X to be an ideal of X.
LA - eng
KW - (Pseudo-)BCK/BCI/BCH-algebra; disjoint union; ideal; centre
UR - http://eudml.org/doc/289738
ER -

References

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  15. Kim, Y. H., So, K. S., On minimality in pseudo-BCI-algebras, Commun. Korean Math. Soc. 27 (2012), 7-13. 
  16. Lee, K. J, Park, C. H., Some ideals of pseudo-BCI-algebras, J. Appl. Math. Inform. 27 (2009), 217-231. 
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