Modules and their endomorphism rings

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H. Susanto, S. Irawati, I.N. Hidayah, Irawati

2019 Journal of Physics: Conference Series Vol. 1320 Issue 1 Conference paper Cited by 0 Quartile

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. © 2019 IOP Publishing Ltd. All rights reserved.

Affiliations

Mathematics Department, Universitas Negeri Malang, Jalan Semarang 5, Malang, Indonesia; Mathematics Department, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung, Indonesia