伪极小内射半模

Pseudo-mininjective semimodules

作为伪内射半模与相对极小内射半模的共同推广,给出伪极小内射半模的定义,并对这一新的半模类进行了研究.证明伪内射半模和相对极小内射半模的部分性质对于伪极小内射半模仍然成立,给出伪极小内射半环的定义并得到部分性质.

As a generalization of pseudo-injective semimodules and relative mininjective semimodules,the concept of pseudo-mininjective semimodule was introduced.Some characterizations and properties of pseudo-mininjective semimodule were given,and several results of pseudo-injective semimodules and relative mininjective semimodules also hold for pseudo-mininjective semimodules.Finally,the concept of pseudo-mininjective semirings was given and some results were proved.