Zariski topology on the spectrum of graded pseudo prime submodules | Zendy

Rashid Abu-Dawwas | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Zariski topology on the spectrum of graded pseudo prime submodules

Author(s) -

Rashid Abu-Dawwas

Publication year - 2020

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.39909

Subject(s) - prime (order theory) , mathematics , generalization , topology (electrical circuits) , spectrum (functional analysis) , associated prime , topological space , pure mathematics , spectral space , prime element , commutative ring , commutative property , algebra over a field , mathematical analysis , combinatorics , physics , quantum mechanics

In this article, we introduce the concept of graded pseudo prime submodules of graded modules that is a generalization of the graded prime ideals over commutative rings. We study the Zariski topology on the graded spectrum of graded pseudo prime submodules. We investigate different properties of this topological space and connect them to the algebraic properties of the graded modules under consideration.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research