On perfect ideals of seminearrings (Q2051353)

Seminearrings, as understood by the authors, are essentially hemirings (i.e., semirings without multiplicative identity elements) with one-sided distributivity and one-sided annihilator property of zero. The authors describe a class of seminearring ideals, which always give rise to a congruence, so that factorisation becomes possible. Moreover, kernels of certain special morphisms are shown to form ideals from this class, in which case the isomorphism theorems hold.