2 papers
math.LO2021
Nonfinitely based ai-semirings with finitely based semigroup reducts
Marcel Jackson, Miaomiao Ren, Xianzhong Zhao
We present some general results implying nonfinite axiomatisability of many additively idempotent semirings with finitely based semigroup reducts. The smallest is a -element com…
math.GR2014
Natural dualities, nilpotence and projective planes
Marcel Jackson
We use an interpretation of projective planes to show the inherent nondualisability of some finite semigroups. The method is sufficiently flexible to demonstrate the nondualisabili…