2023Tikrit Journal of Pure ScienceOpen access

Quadratic BH-algebras and Quadratic TM-algebras

Shawn Adnan Bajalan, Mohammed Shahab Hassan, Aram K. Bajalan

Open full text 0 citations

Abstract

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.

Open-access reader

About this research paper

What this paper is about

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.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

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

Related papers

Back to paper searchBrowse research topicsOriginal source
Quadratic BH-algebras and Quadratic TM-algebras — Research Paper | ScholarLens