Isomorphism between endomorphism rings of modules over a semi simple ring. (August 2019)

• Record Type: Journal Article
• Authors: Susanto, H; Irawati, S; Hidayah, I N; Irawati,
• Is Part Of: Journal of physics. Volume 1245(2019)
• Publication Date: 2019-08
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1245/1/012050
• Languages: English
• ISSNs: 1742-6588

Abstract

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.