$\beta$-algebras and related topics
Commun. Korean Math. Soc. 2012 Vol. 27, No. 2, 217-222
Printed 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  

Copyright © Korean Mathematical Society.
(Rm.1109) The first building, 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd