Quasi-Primary Spectrum of a Commutative Ring and a Sheaf of Rings

Year 2023, Volume: 6 Issue: 2, 89 - 93, 30.11.2023

Neslihan Ayşen Özbay , Zehra Bilgin

https://doi.org/10.34088/kojose.1104023

Abstract

In this work, the set of quasi-primary ideals of a commutative ring with identity is equipped with a topology and is called the quasi-primary spectrum. Some topological properties of this space are examined. Further, a sheaf of rings on the quasi-primary spectrum is constructed and it is shown that this sheaf is the direct image sheaf with respect to the inclusion map from the prime spectrum of a ring to the quasi-primary spectrum of the same ring.

Keywords

Quasi-primary ideals, Quasi-primary spectrum, Sheaf of rings, Zariski topology

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