On Homomorphisms of $AB$-algebras

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Nov 2019Publisher:University of Central Missouri, Department of Mathematics and Computer ScienceJournal:Missouri Journal of Mathematical Sciences, volume 31 (issn: 0899-6180,

Copyright policy )

Authors: Bejarasco, Restituto D.; Gonzaga, Jr., Narciso C.;

doi: 10.35834/2019/3102121

On Homomorphisms of $AB$-algebras

- Summary
- Subjects
- Metrics

Abstract

An $AB$-algebra, defined as an algebra $(X,\cdot,0)$ satisfying the identities $(xy\cdot zy)\cdot xz=0$, $0x=0$ and $x0=x$, is a generalization of BCK/BCI-algebras. Elementary facts on homomorphisms of such algebras are proved.

Keywords

$AB$-subalgebra, $AB$-algebra, $AB$-homomorphism, $AB$-homomorphism, $AB$-ideal, BCK-algebras, BCI-algebras, $AB$-subalgebra, 03G25, 06F35, $AB$-ideal, isomorphism theorems, $AB$-algebra

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

1

Average

Green

Fields of Science (4) View all

Fields of Science