Quadratic BH-algebras and Quadratic TM-algebras
Shawn Adnan Bajalan, Mohammed Shahab Hassan, Aram K. Bajalan
Abstract
Open-access reader
Shawn Adnan Bajalan, Mohammed Shahab Hassan, Aram K. Bajalan
Abstract
Open-access reader
In this paper we present the notion of “quadratic” BH-algebra and TM-algebra, and show that every quadratic BH-algebra and TM-algebra has a product of the form , where ; if is a field with and BCI-algebra. Moreover, we show some theorems and examples with relationships among B-algebra, BH –algebra, BG-algebra and TM-algebra.
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In this paper we present the notion of “quadratic” BH-algebra and TM-algebra, and show that every quadratic BH-algebra and TM-algebra has a product of the form , where ; if is a field with and BCI-algebra. Moreover, we show some theorems and examples with relationships among B-algebra, BH –algebra, BG-algebra and TM-algebra.
Key concepts: Quadratic algebra, Cellular algebra, Division algebra, Algebra over a field, Quadratic equation, Algebra representation, Mathematics, Filtered algebra