Abstract
All rings are commutative with identity, and all modules are unital. The purpose of this work is to investigate comultiplication submodules of multiplication modules. Various properties of this class of submodules are considered. Sufficient conditions for the sum and intersection of a finite collection of comultiplication submodules to be a comultiplication submodule are also given.
| Original language | English |
|---|---|
| Pages (from-to) | 4832-4845 |
| Number of pages | 14 |
| Journal | Communications in Algebra |
| Volume | 48 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - Nov 1 2020 |
Keywords
- Coidempotent submodules
- comultiplication submodules
- copure submodules
- multiplication modules
ASJC Scopus subject areas
- Algebra and Number Theory