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 language | English |
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Pages (from-to) | 151-162 |
Number of pages | 12 |
Journal | Results in Nonlinear Analysis |
Volume | 8 |
Issue number | 1 |
DOIs | |
Publication status | Published - 17-01-2025 |
All Science Journal Classification (ASJC) codes
- Analysis
- Mathematics (miscellaneous)
- Geometry and Topology
- Applied Mathematics