Morita contexts, ideals, and congruences for semirings with local units

[摘要] We consider Morita contexts for semirings that have certain local units but not necessarily an identity element. We showthat the existence of a Morita context with unitary bisemimodules and surjective maps implies that the two semirings involved haveisomorphic quantales of ideals and lattices of congruences.

[学科分类] 化学（综合）

[关键词] semiring;semimodule;Morita context;ideal;congruence.