On graded hyperrings and graded hypermodules
عنوان مقاله: On graded hyperrings and graded hypermodules
شناسه ملی مقاله: JR_ASYAZDT-7-2_002
منتشر شده در در سال 1399
شناسه ملی مقاله: JR_ASYAZDT-7-2_002
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:
Farkhonde Farzalipour - Department of Mathematics, Payame Noor University (PNU), P.O.BOX ۱۹۳۹۵-۳۶۹۷ Tehran, Iran,
Peyman Ghiasvand - Department of Mathematics, Payame Noor University (PNU), P.O.BOX ۱۹۳۹۵-۳۶۹۷ Tehran, Iran,
خلاصه مقاله:
Farkhonde Farzalipour - Department of Mathematics, Payame Noor University (PNU), P.O.BOX ۱۹۳۹۵-۳۶۹۷ Tehran, Iran,
Peyman Ghiasvand - Department of Mathematics, Payame Noor University (PNU), P.O.BOX ۱۹۳۹۵-۳۶۹۷ Tehran, Iran,
Let G be a monoid with identity e. In this paper, first we introduce the notions of G-graded hyperrings, graded hyperideals and graded hyperfields in the sense of Krasner hyperring R. Also, we define the notion of a greded R-hypermodules and some examples are presented. Then we investigate graded maximal, graded prime and graded primary hyperideals of a graded hyperring R. Finally, we study graded maximal, graded prime and graded primary subhypermodules of a graded R-hypermodule M and some interesting results on these concepts are given.
کلمات کلیدی: Hyperring, Hypermodule, Graded hyperring, Graded hypermodule
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1579991/