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Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
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Finite Idempotent Semirings (Dioids)
How many finite idempotent semirings (dioids) are there of order n?
And how many have an addition operation that coincides with a maximum operation for some ordering of the elements ?
Even if the ex …