Abstract
We investigate ideal-semisimple and congruence-semisimple semirings. We give several new characterizations of such semirings using e-projective and e-injective semimodules. We extend several characterizations of semisimple rings to (not necessarily subtractive) commutative semirings.
| Original language | English |
|---|---|
| Pages (from-to) | 1295-1313 |
| Number of pages | 19 |
| Journal | Communications in Algebra |
| Volume | 49 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2020 |
Bibliographical note
Publisher Copyright:© 2020 Taylor & Francis Group, LLC.
Keywords
- Injective semimodules
- projective semimodules
- semimodules
- semirings
- semisimple semirings
ASJC Scopus subject areas
- Algebra and Number Theory