内射性 meaning in English

injectivity

Some relations on generalizations of injective rings
环的几种内射性的关系
A characterization of quasi - continuous modules using relatively injective
使用相关内射性对拟连续模的一个刻划
In this thesis , we will discuss the homological dimension and homological properities of rings and modules which is one of the most impertinent parts in homological theory . in the first chapter , we investigate the relation of homological properities between ring r . [ [ x ] ] and ring r , we prove that a module m is an injective or a flat r - module , then it is an injective or a flat r [ [ x ] ] - module respectively , and if m is an injective or a flat r - module , then hom ( r [ [ x ] ] , m ) is an injective r [ [ x ) ] - module , r . [ [ x } ] m is a flat r { [ x ] } - module
在第一章中，我们主要研究了幂级数环r [ [ x ] ]与环r上的模的平坦性与内射性之间的关系。证明了当只是一个完全凝聚交换环时，如果m是一个内射或平坦r [ x ] -模，则m是一个内射或平坦r -模。如果m是一个平坦r -模，则r [ x ] _ rm是一个平坦r [ x ] -模。