Publication: Classification of finite congruence-simple semirings with zero
Classification of finite congruence-simple semirings with zero
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Zumbrägel, J. (2008). Classification of finite congruence-simple semirings with zero. Journal of Algebra and Its Applications, 7(3), 363–377. https://doi.org/10.1142/S0219498808002862
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Our main result states that a finite semiring of order >2 with zero which is not a ring is congruence-simple if and only if it is isomorphic to a `dense' subsemiring of the endomorphism semiring of a finite idempotent commutative monoid. We also investigate those subsemirings further, addressing e.g. the question of isomorphy.
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- Zumbrägel, J
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Zumbrägel, J. (2008). Classification of finite congruence-simple semirings with zero. Journal of Algebra and Its Applications, 7(3), 363–377. https://doi.org/10.1142/S0219498808002862
