Idempotents and Ideals of Regular Rings

Authors

  • Preethi C.S. Department of Mathematics, Government College for Women (University of Kerala), Thiruvananthapuram, Kerala
  • Jeeja A.V. Department of Mathematics, Government KNM Arts and Science College (University of Kerala), Kanjiramkulam
  • Vinod S. Department of Mathematics, Government College for Women (University of Kerala), Thiruvananthapuram, Kerala

DOI:

https://doi.org/10.26713/cma.v12i2.1606

Keywords:

Idempotents, Green's relations, Ideals

Abstract

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 is the Green's relations. We study some properties of these relations on the multiplicative semigroup of a regular ring with unity. This also gives easier proofs of some known results on ring theory.

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References

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Published

30-06-2021
CITATION

How to Cite

C.S., P., A.V., J., & S., V. (2021). Idempotents and Ideals of Regular Rings. Communications in Mathematics and Applications, 12(2), 367–378. https://doi.org/10.26713/cma.v12i2.1606

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Section

Research Article