2019
DOI: 10.48550/arxiv.1908.00516
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On Semisimple Semirings

Jawad Abuhlail1,
Rangga Ganzar Noegraha2

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.

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