β-ALGEBRAS AND RELATED TOPICS

Title & Authors
β-ALGEBRAS AND RELATED TOPICS
Kim, Young-Hee; So, Keum-Sook;

Abstract
In this note we investigate some properties of $\small{{\beta}}$-algebras and further relations with $\small{B}$-algebras. Especially, we show that if ($\small{X}$, -, +, 0) is a $\small{B^*}$-algebra, then ($\small{X}$, +) is a semigroup with identity 0. We discuss some constructions of linear $\small{{\beta}}$-algebras in a field $\small{K}$.
Keywords
$\small{{\beta}}$-algebra;$\small{B}$-algebra;$\small{B^*}$-algebra;linear;
Language
English
Cited by
1.
Several types of groupoids induced by two-variable functions, SpringerPlus, 2016, 5, 1
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