Isomorphism between Endomorphism Rings of Modules over A Semisimple Ring

Hery Susanto; Santi Irawati; Indriati Nurul Hidayah; Irawati -

doi:10.22342/jims.26.2.824.170-174

Hery Susanto ⁽¹⁾ , Santi Irawati ⁽²⁾ , Indriati Nurul Hidayah ⁽³⁾ , Irawati - ⁽⁴⁾

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https://doi.org/10.22342/jims.26.2.824.170-174

Issue
Volume 26 Number 2 (July 2020)

Submitted
May 1, 2019

Accepted
May 1, 2019

Published
July 10, 2020

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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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Authors

Hery Susanto

hery.susanto.fmipa@um.ac.id (Primary Contact)

Santi Irawati

Indriati Nurul Hidayah

Irawati -

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