Modules and their endomorphism rings. (October 2019)

• Record Type: Journal Article
• Authors: Susanto, H; Irawati, S; Hidayah, I N; Irawati,
• Is Part Of: Journal of physics. Volume 1320(2019)
• Publication Date: 2019-10
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1320/1/012090
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: Let R and S be a pair of equivalent rings. We will prove that if R has property that a pair of modules over R are isomorphic if and only if their endomorphism rings are isomorphic than S has same property, i.e. a pair of modules over S are isomorphic if and only if their endomorphism rings are isomorphic.