Turkish Journal of Mathematics
Article Title
DOI
10.3906/mat-1803-54
Abstract
The subject of this paper is the Zariski topology on a multiplication module $M$ over a commutative ring $R$. We find a characterization for the radical submodule $rad_{M}(0)$ and also show that there are proper ideals $I_{1},...,I_{n}$ of $R$ such that $rad_{M}(0)=rad_{M}(\left( I_{1}...I_{n}\right) M)$. Finally, we prove that the spectrum $Spec(M)$ is irreducible if and only if $M$ is the finite sum of its submodules, whose $ \mathcal{T}$-radicals are prime in $M$.
First Page
2000
Last Page
2009
Recommended Citation
ÖNEŞ, ORTAÇ and ALKAN, MUSTAFA
(2019)
"Multiplication modules with prime spectrum,"
Turkish Journal of Mathematics: Vol. 43:
No.
4, Article 15.
https://doi.org/10.3906/mat-1803-54
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss4/15
