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Noetherian and Artinian Hypermodules and their properties

عنوان مقاله: Noetherian and Artinian Hypermodules and their properties
شناسه ملی مقاله: MATHEMATICS10_094
منتشر شده در دهمین همایش ملی ریاضی دانشگاه پیام نور در سال 1401
مشخصات نویسندگان مقاله:

Ebrahim Khatiri - Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran.
Reza Ameri - Mathematics School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, Tehran, Iran.
Mohsen Asghari-Larimi - Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran.

خلاصه مقاله:
Inspired by the concepts of noetherian and artinian modules in classical algebraic structure theory, in this paper we initiate the study of the noetherian and artinianhypermodules, first we survey some results and definitions related to hyperrings and hypermodules. Then, our studies focuses on some relationships of noetherian andartinian hypermodules, characterizing them by inspier of modules theory.

کلمات کلیدی:
Hypermodule, Noetherian hypermodule, Artinian hypermodule.

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1465479/