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math.GR2010★ 1 cited
Semihyperrings Characterized by Their Hyperideals
M. Shabir, Nayyar Mehmood, Piergiulio Corsini
The concept of hypergroup is generalization of group, first was introduced by Marty [9]. This theory had applications to several domains. Marty had applied them to groups, algebrai…
math.RA2010★ 24 cited
Characterizations of hemirings by their -ideals
W. A. Dudek, M. Shabir, R. Anjum
In this paper we characterize hemirings in which all -ideals or all fuzzy -ideals are idempotent. It is proved, among other results, that every -ideal of a hemiring is…