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The additively idempotent semiring \(S_7^0\) is nonfinitely based

  • Yanan Wu,
  • Miaomiao Ren,
  • Xianzhong Zhao

摘要

We show that the additively idempotent semiring \(S_7^0\) S 7 0 has no finite basis for its equational theory. This answers an open problem posed by Jackson et al. (J Algebra 611:211–245, 2022).