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Weak pseudo-BCK algebras.
- Source :
-
Mathematica Slovaca . Dec2018, Vol. 68 Issue 6, p1327-1338. 12p. - Publication Year :
- 2018
-
Abstract
- In this paper we define and study the weak pseudo-BCK algebras as generalizations of weak BCK-algebras, extending some results given by Cı⃖rulis for weak BCK-algebras. We give some characterizations of weak pseudo-BCK algebras and we prove that a weak pseudo-BCK algebra satisfying the right distribution laws is a BCK-algebra. We define the class of commutative weak pseudo-BCK algebras, and we give equivalent definitions and characterization theorems for commutative weak pseudo-BCK algebras. The classes of quasi pseudo-BCK algebras and weak pseudo-BCK(E) algebras are introduced and a characterization theorem for quasi pseudo-BCK algebras is given. We prove that any weak pseudo-BCK(E) algebra is a pseudo-BE algebra and the class of commutative weak pseudo-BCK(E) algebras is equivalent to the class of commutative pseudo-BCK algebras. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01399918
- Volume :
- 68
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Mathematica Slovaca
- Publication Type :
- Academic Journal
- Accession number :
- 133427751
- Full Text :
- https://doi.org/10.1515/ms-2017-0183