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

Authors : Neslihan Ayşen Özbay, Zehra Bilgin

Pages : 89-93

Doi:10.34088/kojose.1104023

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Publication Date : 2023-11-30

Article Type : Research Paper

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