Open AccessModules and their endomorphism rings
Author(s) -
Hery Susanto,
Santi Irawati,
Indriati Nurul Hidayah,
Irawati
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1320/1/012090
Subject(s) - endomorphism , mathematics , endomorphism ring , property (philosophy) , pure mathematics , combinatorics , discrete mathematics , philosophy , epistemology
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.