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.
| Original language | English |
|---|---|
| Pages (from-to) | 1485-1501 |
| Number of pages | 17 |
| Journal | Journal of Discrete Mathematical Sciences and Cryptography |
| Volume | 29 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2026 |
Bibliographical note
Publisher Copyright:© Taru Publications.
Keywords
- Artinian semirings
- Injective semimodules
- Noetherian semirings
- Semimodules
- Semirings
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Applied Mathematics
Fingerprint
Dive into the research topics of 'On k-Noetherian and k-Artinian semirings'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver