Hery Susanto, Santi Irawati, Indriati Nurul Hidayah, Irawati
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. © 2020 The Indonesian Mathematical Society. All Rights Reserved.
Mathematics Department, Universitas Negeri Malang, Jalan Semarang 5, Malang, 65145, Indonesia; Mathematics Department, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung, 40132, Indonesia
