$\beta$-algebras and related topics
Commun. Korean Math. Soc. 2012 Vol. 27, No. 2, 217-222
https://doi.org/10.4134/CKMS.2012.27.2.217
Published online June 1, 2012
Young Hee Kim and Keum Sook So
Chungbuk National University, Hallym University
Abstract : In this note we investigate some properties of $\beta$-algebras and further relations with $B$-algebras. Especially, we show that if $(X,-,+,0)$ is a $B^*$-algebra, then $(X,+)$ is a semigroup with identity 0. We discuss some constructions of linear $\beta$-algebras in a field $K$.
Keywords : $\beta$-algebra, $B$-algebra, $B^*$-algebra, linear
MSC numbers : 06F35
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