In this paper we introduce the notion of -algebras as a generalization of BE-algebras, we investigate its elementary properties. The aim of this paper is to investigate the concept of filters, left ideals (right ideal, ideal) and fuzzy filters in -algebras. Moreover, we investigate relationships between left ideals and filters in -algebras. Furthermore, we characterize filters in terms of fuzzy filters. It is shown that if I be a left ideal of a -algebra X, then is a left ideal of X for all .
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