On Semisimple Semirings

Published 30 Jul 2019 in math.RA and math.AC | (1908.00516v1)

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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