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

Estonian Academy of Sciences. Proceedings

Laur Tooming¹ 

关键词: semiring;    semimodule;    Morita context;    ideal;    congruence.;   

DOI  :  10.3176/proc.2018.3.09

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 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.

【 授权许可】

CC BY-NC