The necessary and sufficient conditions for the semidirect products of two monoids to be left strongly π-inverse are determined. Furthemore,the least group congruence on a strongly π-inverse semidirect is dicussed,a...The necessary and sufficient conditions for the semidirect products of two monoids to be left strongly π-inverse are determined. Furthemore,the least group congruence on a strongly π-inverse semidirect is dicussed,and some important isomorphism theorems are accessed.展开更多
基金supported by NSFC(No.10871161,No.10971160,No.11101336,No.11226044)Scientific Research Program funded by Shaanxi Provincial Education Department(No.12JK0876)the Fundof Xi'an University of Architecture and Technology(No.RC1110,No.JC1219,No.QN1316)
文摘The necessary and sufficient conditions for the semidirect products of two monoids to be left strongly π-inverse are determined. Furthemore,the least group congruence on a strongly π-inverse semidirect is dicussed,and some important isomorphism theorems are accessed.
