On the varieties of ai-semirings satisfying \({x^{3}\approx x}\) (Q2362884)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the varieties of ai-semirings satisfying \({x^{3}\approx x}\) |
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On the varieties of ai-semirings satisfying \({x^{3}\approx x}\) (English)
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14 July 2017
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A semiring is called ai-semiring (additively idempotent semiring) iff its additive reduct is a semilattice. It is shown that all ai-semirings satisfying \({x^3} \approx x\) are finitely based and finitely generated. All varieties of ai-semirings satisfying \({x^3} \approx x\) form a distributive lattice of order 179.
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semiring
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ai-semiring
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Burnside ai-semiring
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variety
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lattice
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