Journal of Applied Mathematics

Some Aspects of d -Units in d / BCK-Algebras

Hee Sik Kim, J. Neggers, and Keum Sook So

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Abstract

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

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 141684, 10 pages.

Dates
First available in Project Euclid: 5 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1365174311

Digital Object Identifier
doi:10.1155/2012/141684

Mathematical Reviews number (MathSciNet)
MR3000294

Zentralblatt MATH identifier
1263.06008

Citation

Kim, Hee Sik; Neggers, J.; So, Keum Sook. Some Aspects of $d$ -Units in $d/$ BCK-Algebras. J. Appl. Math. 2012 (2012), Article ID 141684, 10 pages. doi:10.1155/2012/141684. https://projecteuclid.org/euclid.jam/1365174311


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