Characterizing regular posemirings by ordered high-(quasi,bi)-ideals

In this paper, we study the notions of an ordered high-quasi-ideal and ordered high-bi-ideal of a posemiring and show that ordered high-quasi-ideals and ordered high-bi-ideals coincide in regular posemirings. Then we give characterizations of regular posemirings, regular duo-posemirings and left(right) regular posemirings by their high-quasi-ideals and high-bi-ideals.

کلیدواژه ها:

Posemiring ، Regular ، High-quasi-ideal ، High-bi-ideal