A Generalization of Graded Prime Submodules over Non-Commutative Graded Rings
Publish place: The Journal of Algebra and Related Topics، Vol: 8، Issue: 1
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JART-8-1_004
تاریخ نمایه سازی: 31 تیر 1403
Abstract:
Let G be a group with identity e. Let R be an associative G-graded ring and M be a G-graded R-module. In this article, we intruduce the concept of graded ۲-absorbing submodules as a generalization of graded prime submodules over non-commutative graded rings. Moreover, we get some properties of such graded submodules.
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Authors
P. Ghiasvand
Department of Mathematics, Payame Noor University(PNU), Tehran, Iran.
F. Farzalipour
Department of Mathematics, Payame Noor University(PNU), Tehran, Iran.