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

Hee Sik Kim, J. Neggers and Keum Sook So

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

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 BCK‐algebras, are in fact weakly associative. The existence of d/BCK‐algebras which are not weakly associative is demonstrated. Moreover, the notions of a d‐integral domain and a left‐injectivity are discussed.

Date: 2012
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https://doi.org/10.1155/2012/141684

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:141684

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