A 4-element additively idempotent semiring whose additive reduct has two minimal elements and two coatoms has no finite basis for its identities.
Order22(2), 129–143 (2005)
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A nonfinitely based additively idempotent semiring of order four
A 4-element additively idempotent semiring whose additive reduct has two minimal elements and two coatoms has no finite basis for its identities.