On Q -algebras

Joseph Neggers, Sun Shin Ahn and Hee Sik Kim

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-9

Abstract:

We introduce a new notion, called a Q -algebra, which is a generalization of the idea of BCH / BCI / BCK -algebras and we generalize some theorems discussed in BCI -algebras. Moreover, we introduce the notion of quadratic Q -algebra, and show that every quadratic Q -algebra ( X ; ∗ , e ) , e ∈ X , has a product of the form x ∗ y = x − y + e , where x , y ∈ X when X is a field with | x | ≥ 3 .

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:589427

DOI: 10.1155/S0161171201006627

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