Spectrum of Zariski Topology in Multiplication Krasner Hypermodules

Author:

Türkmen Ergül1ORCID,Nişancı Türkmen Burcu1ORCID,Kulak Öznur1ORCID

Affiliation:

1. Department of Mathematics, Faculty of Arts and Sciences, Amasya University, Amasya 05100, Turkey

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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference19 articles.

1. Marty, F. (1934). Sur une Generalization de la Notion de Groupe, Scandenaves. 8th Congress Mathematics.

2. Superring of polynomials over a hyperring;Ameri;Mathematics,2019

3. A categorical connection between categories (m,n)-hyperrings and (m,n)-rings via the fundamental relation;Ameri;Kragujev. J. Math.,2019

4. A note on the support of a hypermodule;Bordbar;J. Algebra Its Appl.,2020

5. Corsini, P. (1993). Prolegomena of Hypergroup Theory, Publishing House. [2nd ed.]. Aviani Editore.

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