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On Q -algebras

Author

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  • Joseph Neggers
  • Sun Shin Ahn
  • Hee Sik Kim

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 .

Suggested Citation

  • Joseph Neggers & Sun Shin Ahn & Hee Sik Kim, 2001. "On Q -algebras," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 27, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:589427
    DOI: 10.1155/S0161171201006627
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