From subtractive ideals of semirings to deductive and inductive sets in general algebras

Published in Preprint, 2026

Joint work with Caviglia, Goswami, Janelidze and Shaumbwa.

In this paper we extend the characterisation of kernels in semirings as subtractive ideals to general algebras. We then analyse the counterparts of subtractive and ideal in several different algebraic settings.