Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Spectrum of the Zariski Topology for Multiplication Krasner Hypermodules

Version 1 : Received: 21 January 2023 / Approved: 23 January 2023 / Online: 23 January 2023 (02:25:32 CET)

A peer-reviewed article of this Preprint also exists.

Türkmen, E.; Nişancı Türkmen, B.; Kulak, Ö. Spectrum of Zariski Topology in Multiplication Krasner Hypermodules. Mathematics 2023, 11, 1754. Türkmen, E.; Nişancı Türkmen, B.; Kulak, Ö. Spectrum of Zariski Topology in Multiplication Krasner Hypermodules. Mathematics 2023, 11, 1754.

Abstract

In this study, we define the concept of pseudo-prime subhypermodules of hypermodules as a generalization of the prime hyperideal of commutative hyperrings in [17]. Firstly we examine the spectrum of the Zariski topology, which we built on the element of the pseudo-prime subhypermodules of a class of hyper-modules, then we give some relevant properties of the hypermodule in this topological hyperspace.

Keywords

Pseudo-prime spectrum; Zariski topology; spectral hyperspace

Subject

Computer Science and Mathematics, Analysis

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