Prime Strong Ideals of S-semigroup

Prakash Padoor, Babushri Srinivas Kedukodi, Syam Prasad Kuncham, Kavitha Koppula*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

A seminearring is a generalization of the notion nearring in which the elements need not have an additive inverse. A S-semigroup is a generalization of the notion N-group in which the scalars are from seminearring. In this paper, we define various prime strong ideals of a S-semigroup and obtain the relationship among them. We also establish the connections between completely equiprime, equi-prime and completely prime strong ideals of a S-semigroup. The obtained results are illustrated with the suitable examples. We also prove that every equiprime strong ideal of a S-semigroup is 3-prime strong ideal. In addition, we show that (P: Q)S is strong ideal of a seminearring S and prove related results.

Original languageEnglish
Pages (from-to)151-162
Number of pages12
JournalResults in Nonlinear Analysis
Volume8
Issue number1
DOIs
Publication statusPublished - 17-01-2025

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Geometry and Topology
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Prime Strong Ideals of S-semigroup'. Together they form a unique fingerprint.

Cite this