generalized ideal class group

After some preparations about the property of the Green s relations, general Green s relation s and general ideals, it gives the property of the D relation corresponding to the general ideals and proves that the general ideal is equal to D relation in some semigroups.

本文拟在完善和加细Green关系,在完整叙述了Green与广义Green关系和广义理想的对应性质之后,着重给出D关系相应的广义理想的性质,且在某些半群上讨论了此类广义理想和D是一致的。

We characterize strongly regular rings via generalized weakly ideals.

通过单边理想是广义弱理想来刻画强正则环,证明了下列条件是等价的:①R是强正则环;②R是半素的左GP-V′-环,且每一个极大的左理想是广义弱理想;③R是半素的左GP-V′-环,且每一个极大的右理想是广义弱理想。

Ideal constraint can be divided into complete ideal constraint or incomplete ideal constraint according as generalized ideal constraint forces equal to zero or not.

对于理想约束，按照广义理想约束力是否为零，把理想约束分为完全理想约束和不完全理想约束。