Gamma-semigroups with Unities and Morita Equivalence for Monoids

Authors

  • Sujit Kumar Sardar Department of Mathematics Jadavpur University. Jadavpur, Kolkata. India
  • Sugata Gupta Department of Mathematics, Jadavpur University, Jadavpur. Kolkata-700032 INDIA
  • Kar Ping Shum Institute of Mathematics, Yunnan University, China

Keywords:

$\Gamma$-semigroup, Morita equivalence for monoids, Morita invariant.

Abstract

In this paper we show that the left operator and right operator semi groups of a Γ-semigroup with unities are Morita equivalent monoids. It is also deduced that if L and R are two Morita equivalent monoids then a Γ-semigroup with unities can be constructed such that its left and right operator monoids are isomorphic to L and R respectively. This result is used to obtain some properties of monoids which remain invariant under Morita equivalence. 

Author Biographies

  • Sujit Kumar Sardar, Department of Mathematics Jadavpur University. Jadavpur, Kolkata. India

    Associate Professor,

    Department of Mathematics,

    Jadvpur University.

    Jadavpur. Kolkata-700032.

  • Sugata Gupta, Department of Mathematics, Jadavpur University, Jadavpur. Kolkata-700032 INDIA

    UGC, India Junior Research Fellow

    Department of Mathematics,
    Jadavpur University, Jadavpur.
    Kolkata-700032
    INDIA

  • Kar Ping Shum, Institute of Mathematics, Yunnan University, China

    Professor,

    Institute of Mathematics,

    Yunnan University, China

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Published

2013-01-23

Issue

Section

Algebra

How to Cite

Gamma-semigroups with Unities and Morita Equivalence for Monoids. (2013). European Journal of Pure and Applied Mathematics, 6(1), 1-10. https://www.ejpam.com/index.php/ejpam/article/view/1726