关于理想继承性半群的一点注记

A Note on Semigroups Whose Ideals Are Inheritable

讨论了 (左、右 )理想继承性半群的一个充分必要条件及一些基本性质 ,进而给出了交换理想继承性半群的一个结构刻划 ,以及主因子或为 0 单半群或为

WT5”BZ]In this short note, the sufficient and neccessary conditions and some elementary properties for a (right, left) ideal inheritable semigroup are given. Moreover, we characterize the regular or commutative semigroups whose (left, right) ideals are inheritable. At last, we obtain a sufficient and neccessary condition for a semigroup whose principal factor is (0 ) simple or 2 null. [WT5”HZ]