2017/05/16 by Zehra Bı̇lgı̇n, Bilgin, Zehra, Neslihan Ayşen Özkirişçi +1
Mathematics · #13A15 #13A99 #14A99 #54F65 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1705.05604
openalex publication_date 2017/05/16 · openalex created_date 2017/10/06 · openalex updated_date 2026/07/28
In this work, the set of quasi-primary ideals of a commutative ring with identity is equipped with a topology and is called 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.