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Research Article

On semisimple semirings

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Pages 1295-1313 | Received 28 May 2020, Accepted 05 Oct 2020, Published online: 30 Oct 2020
 

Abstract

We investigate ideal-semisimple and congruence-semisimple semirings. We give several new characterizations of such semirings using e-projective and e-injective semimodules. We extend several characterizations of semisimple rings to (not necessarily subtractive) commutative semirings.

2010 MATHEMATICS SUBJECT CLASSIFICATION:

Additional information

Funding

The authors would like to acknowledge the support provided by the Deanship of Scientific Research (DSR) at King Fahd University of Petroleum & Minerals (KFUPM) for funding this work through projects nos. RG1304-1 & RG1304-2.

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