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The strong nonfinite basis property of $S_7$

Wang, Lili et al.
arXiv (All) · Papers
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group-theoryrings-and-algebras
We prove that the three-element additively idempotent semiring $S_7$ is strongly nonfinitely based: every finite additively idempotent semiring whose generated variety contains $S_7$ has no finite equational basis. This answers Problem~1.2 in Yue, Ren and Gao's paper Explicit equational bases for th
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