The Zariski topology on the second spectrum of a module. (English) Zbl 1309.13011
Let \(R\) be a commutative ring and let \(M\) be an \(R\)-module. The second spectrum \(\mathrm{Spec}^s(M)\) is the collection of all second submodules of \(M\). In the paper under review, the authors topologize the second spectrum with Zariski topology. They obtain conditions, for various types of modules, under which the second spectrum is a spectral space.
Reviewer: Siamak Yassemi (Tehran)
MSC:
| 13C13 | Other special types of modules and ideals in commutative rings |
| 13C99 | Theory of modules and ideals in commutative rings |
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