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E-Inversive Γ-Semigroups
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  • Journal title : Kyungpook mathematical journal
  • Volume 49, Issue 3,  2009, pp.457-471
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2009.49.3.457
 Title & Authors
E-Inversive Γ-Semigroups
Sen, Mridul Kanti; Chattopadhyay, Sumanta;
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 Abstract
Let S = {a, b, c, ...} and = {, , , ...} be two nonempty sets. S is called a -semigroup if , for all and a, b S and , for all a, b, c S and for all , . An element is said to be an -idempotent for some if = e. A -semigroup S is called an E-inversive -semigroup if for each there exist and such that ax is a -idempotent for some . A -semigroup is called a right E--semigroup if for each -idempotent e and -idempotent f, is a -idempotent. In this paper we investigate different properties of E-inversive -semigroup and right E--semigroup.
 Keywords
E-inversive -semigroup;Right E--semigroup;semidirect product;
 Language
English
 Cited by
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