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β-ALGEBRAS AND RELATED TOPICS

Young-Hee Kim, Keum-Sook So
2012 Communications of the Korean Mathematical Society  
In this note we investigate some properties of β-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 β-algebras in a field K.
doi:10.4134/ckms.2012.27.2.217 fatcat:iflmiodksvedpnpv2r2lusruje