Journal of the Indonesian Mathematical Society
Volume 26 Number 2 (July 2020)

Isomorphism between Endomorphism Rings of Modules over A Semisimple Ring

Susanto, Hery (Unknown)
Irawati, Santi (Unknown)
Hidayah, Indriati Nurul (Unknown)
-, Irawati (Unknown)

Article Info

Publish Date
10 Jul 2020

Abstract

Our question is what ring R which all modules over R are determined, up to isomorphism, by their endomorphism rings? Examples of this ring are division ring and simple Artinian ring. Any semi simple ring does not satisfy this property. We construct a semi simple ring R but R is not a simple Artinian ring which all modules over R are determined, up to isomorphism, by their endomorphism rings.

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Journal Info
Journal of the Indonesian Mathematical Society
Website

Abbrev

JIMS

Publisher

Indonesian Mathematical Society

Subject

Mathematics

Description

Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their ...