Some Aspects of -Units in BCK-Algebras-Reference-Cited by-同舟云学术

Some Aspects of -Units in BCK-Algebras

Published:2012 Issue: Volume:2012 Page:1-10
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Kim Hee Sik¹^ORCID,Neggers J.²,So Keum Sook³

Affiliation:

1. Department of Mathematics, Hanyang University, Seoul 133-791, Republic of Korea

2. Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA

3. Department of Mathematics, Hallym University, Chuncheon 200-702, Republic of Korea

Abstract

We explore properties of the set of d-units of a -algebra. A property of interest in the study of -units in -algebras is the weak associative property. It is noted that many other -algebras, especially -algebras, are in fact weakly associative. The existence of -algebras which are not weakly associative is demonstrated. Moreover, the notions of a -integral domain and a left-injectivity are discussed.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2012/141684.pdf

Reference15 articles.

1. Companion d-algebras

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