\(\mathcal{D}\)-squares and \(E\)-squares

Authors

  • Preethi C. S. Department of Mathematics, Government College for Women, Thiruvananthapuram, Kerala
  • Minikumari N. S. Department of Mathematics, Government College for Women, Thiruvananthapuram, Kerala
  • Jeeja A. V. Department of Mathematics, KNM Govt. Arts and Science College, Kanjiramkulam, Kerala

DOI:

https://doi.org/10.26713/cma.v12i1.1456

Keywords:

\(\mathcal{D}\)-square, Green's relations, \(E\)-squares

Abstract

The concept of E-squares introduced by Prof. K.S.S. Nambooripad plays an important role in the study of structure of Semigroups. Multiplicative semigroups of rings form an important class of semigroups and one theme in the study of semigroups is how the structure of this semigroup affects the structure of the ring. An important tool in analyzing the structure of a semigroup are the Green's relations. In this paper, we study some properties of these relations on the multiplicative semigroup of a  regular ring and hence the properties of \(E\)-squares and \(\mathcal{D}\)-squares.

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References

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Published

31-03-2021
CITATION

How to Cite

C. S., P., N. S., M., & A. V., J. (2021). \(\mathcal{D}\)-squares and \(E\)-squares. Communications in Mathematics and Applications, 12(1), 213–219. https://doi.org/10.26713/cma.v12i1.1456

Issue

Vol. 12 No. 1 (2021)

Section

Research Article

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