Topological semirings which are union of topological rings (Q6632034)

In the paper under review, the authors establish necessary and sufficient conditions on an algebraic completely regular topological semiring to be a union of topological skew-rings. They prove that the quotient space \(S/K\) of a topological completely regular (algebraic) semiring \((S, \tau)\) by a normal ideal \(K\) is a topological idempotent semiring. Also the authors show that the quotient space of topological product of a finite family of topological semirings by product of their normal ideals is topologically isomorphic with the topological product of the finite family of quotient spaces of topological semiring by its corresponding normal ideal.