2025/12/5
Amir Mafi

Amir Mafi

Academic rank: Professor
ORCID:
Education: PhD.
H-Index:
Faculty: Faculty of Science
ScholarId:
E-mail: a.mafi [at] uok.ac.ir
ScopusId: View
Phone: 33624133
ResearchGate:

Research

Title
A new characterizations of commutative Artinian Rings
Type
JournalPaper
Keywords
Artinian rings_ good modules_ representable modules,_semi Hopfian and semi co-Hopfian modules.
Year
2004
Journal Vietnam J. Math
DOI
Researchers Kamran Divaani-Aazar ، Amir Mafi

Abstract

Let R be a commutative Noetherian ring. It is shown that R is Artinian if and only if every R-module is good, if and only if every R-module is representable. As a result, it follows that every nonzero submodule of any representable R-module is representable if and only if R is Artinian. This provides an answer to a question which is investigated in [1].