Abstract
Let M be a non-zero module over an associative (not necessarily commutative) ring. In this paper, we investigate the so-called second and coprime submodules of M. Moreover, we topologize the spectrum Specs(M) of second submodules of M and the spectrum Specc(M) of coprime submodules of M, study several properties of these spaces and investigate their interplay with the algebraic properties of M.
| Original language | English |
|---|---|
| Pages (from-to) | 47-72 |
| Number of pages | 26 |
| Journal | Algebra Colloquium |
| Volume | 22 |
| Issue number | 1 |
| DOIs | |
| State | Published - 16 Mar 2015 |
Bibliographical note
Publisher Copyright:© 2015 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, and Suzhou University.
Keywords
- comultiplication module
- coprime submodule
- dual Zariski topology
- multiplication module
- second submodule
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics