We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On the Maximal Spectrum of a Module and Zariski Topology.
- Authors
Ansari-Toroghy, H.; Keyvani, S.
- Abstract
For any module M over a commutative ring R, $$Spec_{R}(M)$$ (resp. $$Max_{R}(M)$$ ) of M is the collection of all prime (resp. maximal) submodules. In this article, we investigate the interplay between the topological properties of $$Max_{R}(M)$$ and module theoretic properties of M. Also, for various types of modules M, we obtain some conditions under which $$Max_{R}(M)$$ is homeomorphic with the maximal ideal space of some ring.
- Subjects
IDEAL spaces (Mathematics); ZARISKI surfaces; TOPOLOGY; COMMUTATIVE rings; INTEGERS; RATIONAL numbers
- Publication
Bulletin of the Malaysian Mathematical Sciences Society, 2015, Vol 38, Issue 1, p303
- ISSN
0126-6705
- Publication type
Article
- DOI
10.1007/s40840-014-0020-1