Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On the Ideal Extensions in Γ-Semigroups

  • Siripitukdet, Manoj (Department of Mathematics, Faculty of Science, Naresuan University) ;
  • Iampan, Aiyared (Department of Mathematics, Faculty of Science, Naresuan University)
  • Received : 2006.06.30
  • Published : 2008.12.31
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Abstract

In 1981, Sen [4] have introduced the concept of $\Gamma$-semigroups. We have known that $\Gamma$-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 $\Gamma$-semigroups and characterize the relationship between the extensions of ideals and some congruences in $\Gamma$-semigroups.

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References

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