A length for Artinian modules
عنوان مقاله: A length for Artinian modules
شناسه ملی مقاله: JR_ASYAZDT-10-1_012
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_ASYAZDT-10-1_012
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
Alireza Alehafttan - Department of Mathematics, Jundi-Shapur University of Technology, Dezful, Iran.
خلاصه مقاله:
Alireza Alehafttan - Department of Mathematics, Jundi-Shapur University of Technology, Dezful, Iran.
In this paper we shall introduce a theory of length for Artinian modules over an arbitrary ring (with identity), assigning to each Artinian module A an ordinal number len(A) which will briefly be called the length of A. We also demonstrate for some familiar properties of left Artinian ring be proved efficiently using length and arithmetic properties of ordinal numbers.
کلمات کلیدی: Artinian module, Length dimension, Length function, Length rank, Strictly increasing function
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1614956/