group homomorphism

This paper proves that the localization of an orthodox semigroup at the semilattice of idempotences exists and is unique which is the maximum group homomorphism image .

本文证明了纯正么半群在其幂等元带上的局部化存在唯一，且证明了它是其最大群同态象。

On anti quotient group and anti homomorphism

反商群与反同态

An element g is a test element of a group G if every homomorphism of G which keeps g fixed is an automorphism .

群G的一个元素g称为G的检验元素，如果G的每一个保持g不变的自同态都是G的自同构。

The concept of anti quotient group is introduced and properties of the anti quotient group , the anti homomorphism and the anti isomorphism as properties of the quotient group and homomorphism and isomorphism are obtained .

引入了反商群概念，利用反商群、反同态、反同构等概念得到了一系列与群同态、同构完全相应的性质。