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 $\beta$-algebras and related topics Commun. Korean Math. Soc. 2012 Vol. 27, No. 2, 217-222 https://doi.org/10.4134/CKMS.2012.27.2.217Printed 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 Downloads: Full-text PDF

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