Zariski topologies on graded ideals

In: Tatra Mountains Mathematical Publications, vol. 78, no. 1

Malik Bataineh - Azzh Saad Alshehry - Rashid Abu-Dawwas

Detaily:

Rok, strany: 2021, 215 - 224

Jazyk: eng

Kľúčové slová:

graded prime ideal, graded radical ideal, Zariski topology.

Typ článku: m

Typ dokumentu: scientific paper

DOI: https://doi.org/10.2478/tmmp-2021-0015

Full text

O článku:

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

Ako citovať:

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

O vydaní:

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

Publikované: 14. 10. 2021

Verejná licencia:

https://creativecommons.org/licenses/by-nc-nd/4.0/