On the Ideal Extensions in Gamma-Semigroups
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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.
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.
참고문헌 (8)
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