In: Tatra Mountains Mathematical Publications, vol. 78, no. 1
Malik Bataineh - Azzh Saad Alshehry - Rashid Abu-Dawwas
Details:
Year, pages: 2021, 215 - 224
Language: eng
Keywords:
graded prime ideal, graded radical ideal, Zariski topology.
Article type: m
Document type: scientific paper
About article:
In this paper, we show there are strong relations between the algebraic properties of a graded commutative ring $R$ and topological properties of open subsets of Zariski topology on the graded prime spectrum of $R$. We examine some algebraic conditions for open subsets of Zariski topology to become quasi-compact, dense, and irreducible. We also present a characterization for the radical of a graded ideal in $R$ by using topological properties
How to cite:
ISO 690:
Bataineh, M., Alshehry, A., Abu-Dawwas, R. 2021. Zariski topologies on graded ideals. In Tatra Mountains Mathematical Publications, vol. 78, no.1, pp. 215-224. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0015
APA:
Bataineh, M., Alshehry, A., Abu-Dawwas, R. (2021). Zariski topologies on graded ideals. Tatra Mountains Mathematical Publications, 78(1), 215-224. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0015
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 14. 10. 2021
Rights:
https://creativecommons.org/licenses/by-nc-nd/4.0/