© On k-Noetherian and k-Artinian semirings
Abstract
We investigate left k-Noetherian and left k-Artinian semirings. We characterize such semirings using i-injective semimodules. We prove, in particular, a partial version of the celebrated Bass-Papp Theorem for semirings. We illustrate our main results by examples and counter examples.
Fields of Study & Subjects
semigroups and automata theory
Rings
Modules
and Algebras
Fuzzy and Soft Set Theory
Publication details
- Journal / source
- Journal of Discrete Mathematical Sciences and Cryptography
- Volume
- 29
- Issue
- 3
- Pages
- 1485–1501
- Publication date
- 1 January 2026
- Language
- EN