GP-内射,GP-injective

GP-injective ringsGP-内射环
1.Quasi GP-injective modules are defined, we get some results about quasi GP-injective modules, these results generalize and extend some results for GP-injective rings and quasi p-injective modules.这些结果总结了GP-内射环和拟P-内射模的一些结果。
3)GP-injective ringGP-内射环
1.In this paper,various extensions and some properties of JGP-injective rings are studied.研究了JGP-内射环的几种扩张及性质,从而推广了GP-内射环的一些结果。
2.The concept of GP-injective rings are generalized to WGP-injective rings,and someproperties of WGP-injective rings are studied.将GP-内射环的概念推广得到WGP-内射环,并研究了WGP-内射环的某些性质。
3.Some relations about the generalizations of self-injective ring: P-injective ring, GP-injective ring, AP-injective ring, simple-injective ring and n-injective ring are studied.我们研究了关于广义自内射环(P-内射环,GP-内射环,AP-内射环,单内射环,n-内射环)的一些关系。
4)GP-injective moduleGP-内射模
5)quasi GP-injective modules拟GP-内射模
1.Quasi GP-injective modules are defined, we get some results about quasi GP-injective modules, these results generalize and extend some results for GP-injective rings and quasi p-injective modules.在本文中,我们定义了拟GP-内射模,并且得到了关于它的一些结果。
6)right GP-injective ring右GP-内射环
1.Moreover,we show that: If R is a left G-morphic ring,the same is true of eRe for every idempotent e∈R;Every unit π-regular ring is a left(right) G-morphic ring;Every left G-morphic ring is a right GP-injective ring.我们给出了G-morphic环的定义,证明了如下主要结果:对R中的任意幂等元e,如果R是左G-morphic环,则eRe也是左G-morphic环;每一个幺π-正则环是左(右)G-morphic环;每一个左G-morphic环是右GP-内射环。
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