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Abstract

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.

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How to Cite
Susanto, H., Irawati, S., Hidayah, I. N., & -, I. (2020). Isomorphism between Endomorphism Rings of Modules over A Semisimple Ring. Journal of the Indonesian Mathematical Society, 26(2), 170–174. https://doi.org/10.22342/jims.26.2.824.170-174