A nonfinitely based additively idempotent semiring that is not strongly nonfinitely based and generates a limit variety

Xiaolei Shao, Miaomiao Ren, Zidong Gao

We present an explicit infinite equational basis for the six-element additively idempotent semiring $T{R}_6$ and prove that $T{R}_6$ is nonfinitely based. We also give a complete descr…