On the Ideal Extensions in Γ-Semigroups

• Journal title : Kyungpook mathematical journal
• Volume 48, Issue 4,  2008, pp.585-591
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2008.48.4.585
Title & Authors
On the Ideal Extensions in Γ-Semigroups
Siripitukdet, Manoj; Iampan, Aiyared;

Abstract
In 1981, Sen [4] have introduced the concept of $\small{\Gamma}$-semigroups. We have known that $\small{\Gamma}$-semigroups are a generalization of semigroups. In this paper, we introduce the concepts of the extensions of s-prime ideals, prime ideals, s-semiprime ideals and semiprime ideals in $\small{\Gamma}$-semigroups and characterize the relationship between the extensions of ideals and some congruences in $\small{\Gamma}$-semigroups.
Keywords
$\small{\Gamma}$-semigroup;extension of s-prime ideal;prime ideal;s-semiprime ideal and semiprime ideal;
Language
English
Cited by
1.
\$\$n\$\$ -ary \$\$\Gamma \$\$ -semigroups, operators and Green’s relations, Afrika Matematika, 2014, 25, 3, 841
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