半模上的-同余

-Congruence on the Semimodule

将半模的同余推广到-同余,若M是R上的半模,用C(M)表示M所有同余关系组成的类.C(M)表示M上全体-同余,那么得到结论:M是半环R上的-半模,则C(M)是完全格.

In this paper, the ?-congruence on the semimodules is discussed. Let Mbe a semimodule of, and C~? (M) be all the congruences on the M, which leads to a conclusion: if M is Semimodule of semiring R, C~?(M) is a complete lattice.