On k-radicals of Green's relations in semirings with a semilattice additive reduct
Anjan Kumar Bhuniya, Tapas Kumar Mondal · Discussiones Mathematicae - General Algebra and Applications · 2013
We introduce the k-radicals of Green's relations in semirings with a semilattice additive reduct, introduce the notion of left k-regular (right k-regular) semirings and characterize these semirings by k-radicals of Green's relations. We also characterize the semirings which are distributive lattices of left ksimple subsemirings by k-radicals of Green's relations.