On exact category of (m, n)-ary hypermodules
عنوان مقاله: On exact category of (m, n)-ary hypermodules
شناسه ملی مقاله: JR_CGASAT-12-1_004
منتشر شده در در سال 1399
شناسه ملی مقاله: JR_CGASAT-12-1_004
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:
Najmeh Jafarzadeh - Department of Mathematics, Payamenoor University,P.O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.
Reza Ameri - Mathematics, School of Mathematics, Statistics and Computer Science, University of Tehran
خلاصه مقاله:
Najmeh Jafarzadeh - Department of Mathematics, Payamenoor University,P.O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.
Reza Ameri - Mathematics, School of Mathematics, Statistics and Computer Science, University of Tehran
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.
کلمات کلیدی: (m,n)-hypermodules, kernel, cokernel, balanced category, fundamental functor, exact category
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1267947/