1. On finitely generated multiplication modules
- Creator:
- Nekooei, R.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- prime submodules, multiplication modules, distributive lattices, and spectral spaces
- Language:
- English
- Description:
- We shall prove that if $M$ is a finitely generated multiplication module and $\mathop {\mathrm Ann}(M)$ is a finitely generated ideal of $R$, then there exists a distributive lattice $\bar{M}$ such that $\mathop {\mathrm Spec}(M)$ with Zariski topology is homeomorphic to $\mathop {\mathrm Spec}(\bar{M})$ to Stone topology. Finally we shall give a characterization of finitely generated multiplication $R$-modules $M$ such that $\mathop {\mathrm Ann}(M)$ is a finitely generated ideal of $R$.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public