On Q-algebras
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201006627 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |