On exact category of (m, n)-ary hypermodules

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Jafarzadeh Najmeh; AMERI REZA

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ISSN: 2588-4824

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Journal: CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS Year:2020 | Volume:12 | Issue:1 Page(s): 69-88

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Title

On exact category of (m, n)-ary hypermodules

Author(s)

Jafarzadeh Najmeh | AMERI REZA | Issue Writer Certificate

Keywords

(mQ4

n)-hypermodulesQ4

kernelQ4

cokernelQ4

balanced categoryQ4

fundamental functorQ4

exact categoryQ4

Abstract

We introduce and study category of (m, n)-ary hypermodules as a generalization of the category of (m, n)-modules as well as the category of classical modules. Also, we study various kinds of morphisms. Especially, we characterize monomorphisms and epimorphisms in this category. We will proceed to study the fundamental relation on (m, n)-hypermodules, as an important tool in the study of algebraic hyperstructures and prove that this relation is really functorial, that is, we introduce the fundamental functor from the category of (m, n)-hypermodules to the category (m, n)-modules and prove that it preserves monomorphisms. Finally, we prove that the category of (m, n)-hypermodules is an exact category, and, hence, it generalizes the classical case.

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APA: Copy

Jafarzadeh, Najmeh, & AMERI, REZA. (2020). On exact category of (m, n)-ary hypermodules. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, 12(1 ), 69-88. SID. https://sid.ir/paper/255393/en

Vancouver: Copy

Jafarzadeh Najmeh, AMERI REZA. On exact category of (m, n)-ary hypermodules. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS[Internet]. 2020;12(1 ):69-88. Available from: https://sid.ir/paper/255393/en

IEEE: Copy

Najmeh Jafarzadeh, and REZA AMERI, “On exact category of (m, n)-ary hypermodules,” CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, vol. 12, no. 1 , pp. 69–88, 2020, [Online]. Available: https://sid.ir/paper/255393/en

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