Spectrum of Zariski Topology in Multiplication Krasner Hypermodules

Ergül Türkmen (), Burcu Nişancı Türkmen and Öznur Kulak
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Ergül Türkmen: Department of Mathematics, Faculty of Arts and Sciences, Amasya University, Amasya 05100, Turkey
Burcu Nişancı Türkmen: Department of Mathematics, Faculty of Arts and Sciences, Amasya University, Amasya 05100, Turkey
Öznur Kulak: Department of Mathematics, Faculty of Arts and Sciences, Amasya University, Amasya 05100, Turkey

Mathematics, 2023, vol. 11, issue 7, 1-10

Abstract: In this paper, we define the concept of pseudo-prime subhypermodules of hypermodules as a generalization of the prime hyperideal of commutative hyperrings. In particular, we examine the spectrum of the Zariski topology, which we built on the element of the pseudo-prime subhypermodules of a class of hypermodules. Moreover, we provide some relevant properties of the hypermodule in this topological hyperspace.

Keywords: pseudo-prime spectrum; Zariski topology; spectral hyperspace (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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