Neslihan Ayşen ÖZBAY, Zehra BİLGİN

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

Yayın Aralığı: 2
Başlangıç: 2018
Yayıncı: Kocaeli Üniversitesi Fen Bilimleri Enstitüsü

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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