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Modules and their endomorphism rings

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, , Citation H Susanto et al 2019 J. Phys.: Conf. Ser. 1320 012090 DOI 10.1088/1742-6596/1320/1/012090

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hery.susanto.fmipa@um.ac.id

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1 Mathematics Department, Universitas Negeri Malang, Jalan Semarang 5 Malang, Indonesia

2 Mathematics Department, Institut Teknologi Bandung, Jalan Ganesa 10 Bandung, Indonesia

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1742-6596/1320/1/012090

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.

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10.1088/1742-6596/1320/1/012090