Γ-Semigroups in which Prime Γ-Ideals are Maximal

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2017 by IJMTT Journal
Volume-49 Number-5
Year of Publication : 2017
Authors : S. Savithri, A. Gangadhara Rao, A. Anjaneyulu, J. M. Pradeep
  10.14445/22315373/IJMTT-V49P547

MLA

S. Savithri, A. Gangadhara Rao, A. Anjaneyulu, J. M. Pradeep "Γ-Semigroups in which Prime Γ-Ideals are Maximal", International Journal of Mathematics Trends and Technology (IJMTT). V49(5):298-306 September 2017. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
In this paper, the terms, Maximal Γ- ideal, primary Γ-semigroup and Prime Γ-ideal are introduced. It is proved that if S is a Γ- semigroup with identity and if ( non zero, assume this if S has zero) proper prime Γ-ideals in S are maximal then S is primary Γ- semigroup.

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Keywords
Γ-semigroup, Maximal Γ-ideal, primary Γ-semigroup, commutative Γ-semigroup, left (right) identity, identity, Zero element and Prime Γ-ideal.