1) JGP-injective ring
JGP-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) left(right) JGP-injective ring
左(右)JGP-内射环
3) IP-injective ring
IP-内射环
1.
A concept of GIN-modules was introduced,its some equivalent characterizations were studied,and some results of IP-injective ring and quasi-P-injective module were generalized.
引入GIN-模的概念,研究GIN-模的等价刻画和性质,推广IP-内射环及拟P-内射模的一些结果。
2.
We introduce the concept of WIP-injective ring,and give its some equivalent characterizations and properties.
引入WIP-内射环的概念,给出了WIP-内射环的等价刻画和性质,并研究了其与单J-内射环,P-内射环,IP-内射环之间的关系。
3.
Some equivalent conditions of IP-injective ring and self injective ring,P-injective ring,C_2-ring,QF ring are given under condition(P).
给出了条件(P)下IP-内射环与自内射环、P-内射环、C2-环及QF环的等价条件。
4) WIP-injective ring
WIP-内射环
1.
We introduce the concept of WIP-injective ring,and give its some equivalent characterizations and properties.
引入WIP-内射环的概念,给出了WIP-内射环的等价刻画和性质,并研究了其与单J-内射环,P-内射环,IP-内射环之间的关系。
5) p-injective rings
p-内射环
1.
The second chapter,we discuss the relation of morphic rings,G-morphic rings,P-injective rings ,GP-injective rings and strongly regular rings.
全文分三章,第一章研究了morphic环与G-morphic环的性质以及环中元素的morphic性与G-morphic性;第二章讨论了morphic环,G-morphic环,P-内射环,GP-内射环及强正则环之间的关系;第三章讨论了环R与R上的双模M的平凡扩张的morphic性并利用它构造了一种是G-morphic环而不是morphic环的反例。
6) GP-injective rings
GP-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。
补充资料:内射
内射
injection ^ injecthe mapping
内射「妙劝.或协幼记n.n不毛;“朴e料朋〕,集合A到集合B的 一个映射F:A一B,它使得A中不同的元素映到B中不同的元素上.内射有时也称为由A到B中的嵌人(面伙刘山吧)(或包含(inc如ion”. 0 .A.物aHoBa撰【补注】在范畴(c ategory)论中,一个态射(朋甲h-治m)F也称为一个内射,如果对所有的态射G及H,若尸。G=FoH,则G二H.王驹译
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