Abstract
One of the extensions of a nearring and a gamma ring is the concept of a gamma nearring, which allows for a more general multiplication operation. In this paper, we aim to establish the concept of a partial order in a Γ-nearring, thereby extending the notion of partial order observed in a nearring. We introduce several key concepts such as partial order, positive cone, convex ideal, and others, within the context of a Γ-nearring. Additionally, we provide proofs for various classical results pertaining to these notions. Moreover, we investigate different types of prime ideals within a lattice-ordered Γ-nearring and examine their properties. By exploring the characteristics and behavior of these prime ideals, we enhance our understanding of lattice-ordered Γ-nearrings and their structural properties.
| Original language | English |
|---|---|
| Pages (from-to) | 136-142 |
| Number of pages | 7 |
| Journal | Engineering Letters |
| Volume | 32 |
| Issue number | 1 |
| Publication status | Published - 2024 |
All Science Journal Classification (ASJC) codes
- General Engineering