Zariski topology on the spectrum of graded pseudo prime submodules-Reference-Cited by-同舟云学术

Zariski topology on the spectrum of graded pseudo prime submodules

Published:2021-01-01 Issue:3 Volume:39 Page:17-26
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:en
Short-container-title:bspm

Author:

Abu-Dawwas Rashid¹^ORCID

Affiliation:

1. Yarmouk University

Abstract

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 clarify the relation between the properties of this topological space and the algebraic properties of the graded modules under consideration.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference13 articles.

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3. 3. K. AL-Zoubi and R. Abu-Dawwas, On graded quasi-prime submodules, Kyungpook Mathematical Journal, 55 (2015), 259-266.

4. 4. R. Arens and J. Dugundji, Remarks on the concept of compactness, Portugaliae Mathematics, 9 (1950), 141-143.

5. 5. S. E. Atani, On graded prime submodules, Chiang Mai Journal of Science, 33 (1) (2006), 3-7.

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