On HvBE-algebras

[摘要] In this paper, we introduce the notion of HvBE-algebra and investigate the some properties of it. Also some types of HvBE-algebras are studied and the relationship between them are stated. We try to show that these notions are independent, by some examples. In addition we show that HvBE-algebra is an extension of hyper BE-algebra and compute the number of HvBE-algebras in cases jHj = 2 and 3. Furthermore, we investigate several kinds of homomorphisms on HvBE-algebras.

[学科分类] 数学（综合）

[关键词] (Hv)BE-algebra;Hyper BE-algebra;Hv(weak)filter;Hv group