On branchwise commutative pseudo-BCH algebras

Andrzej Walendziak

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2017)

  • Volume: 71, Issue: 2
  • ISSN: 0365-1029

Abstract

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Basic properties of branches of pseudo-BCH algebras are described. Next, the concept of a branchwise commutative pseudo-BCH algebra is introduced. Some conditions equivalent to branchwise commutativity are given. It is proved that every branchwise commutative pseudo-BCH algebra is a pseudo-BCI algebra.

How to cite

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Andrzej Walendziak. "On branchwise commutative pseudo-BCH algebras." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 71.2 (2017): null. <http://eudml.org/doc/289788>.

@article{AndrzejWalendziak2017,
abstract = {Basic properties of branches of pseudo-BCH algebras are described. Next, the concept of a branchwise commutative pseudo-BCH algebra is introduced. Some conditions equivalent to branchwise commutativity are given. It is proved that every branchwise commutative pseudo-BCH algebra is a pseudo-BCI algebra.},
author = {Andrzej Walendziak},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {(Pseudo-)BCK/BCI/BCH-algebra; atom; branch; branchwise commutativity},
language = {eng},
number = {2},
pages = {null},
title = {On branchwise commutative pseudo-BCH algebras},
url = {http://eudml.org/doc/289788},
volume = {71},
year = {2017},
}

TY - JOUR
AU - Andrzej Walendziak
TI - On branchwise commutative pseudo-BCH algebras
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2017
VL - 71
IS - 2
SP - null
AB - Basic properties of branches of pseudo-BCH algebras are described. Next, the concept of a branchwise commutative pseudo-BCH algebra is introduced. Some conditions equivalent to branchwise commutativity are given. It is proved that every branchwise commutative pseudo-BCH algebra is a pseudo-BCI algebra.
LA - eng
KW - (Pseudo-)BCK/BCI/BCH-algebra; atom; branch; branchwise commutativity
UR - http://eudml.org/doc/289788
ER -

References

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  12. Iorgulescu, A., New generalizations of BCI, BCK and Hilbert algebras - Part II, J. Mult.-Valued Logic Soft Comput. 27 (2016), 407-456. 
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  14. Walendziak, A., Pseudo-BCH-algebras, Discuss. Math. Gen. Algebra Appl. 35 (2015), 1-15. 
  15. Walendziak, A., On ideals of pseudo-BCH-algebras, Ann. Univ. Mariae Curie-Skłodowska Sect. A 70 (2016), 81-91. 
  16. Walendziak, A., Strong ideals and horizontal ideals in pseudo-BCH-algebras, Ann. Univ. Paedagog. Crac. Stud. Math. 15 (2016), 15-25. 
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