Strongly transitive geometric spaces associated to hypermodules

JOURNAL OF ALGEBRA

卷:322

Article

Anvariyeh, S. M.¹  Davvaz, B.¹ 

[1] Yazd Univ, Dept Math, Yazd, Iran

关键词: Hypermodule;    Hyperring;    Strongly regular relation;    Fundamental relation;   

DOI  :  10.1016/j.jalgebra.2009.05.014

来源: Elsevier

【 摘 要 】

In this paper, we use the strongly regular theta*-relation on hypermodules (with canonical hypergroup) over a given Krasner hyperring. In this way, we consider the fundamental relation theta* defined on a hypermodule and prove some results in this respect. Also, we determine a family P-sigma(M) of subsets of a hypermodule M and we give sufficient conditions such that the geometric space (M, P-sigma(M)) is strongly transitive and the relation theta is transitive. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free