1) ann-injective rings
ann-自内射环
1.
First , we introduce the notion of ann-injective rings and CT-injective modules .
本文对环与模范畴中一重要的模类—内射模进行了延拓,引入了ann -自内射环以及CT -内射模的概念,探讨了它们一系列的性质,并定义了CT -内射模的同调维数,最后对余生成子环进行推广得到了FGT -环,讨论了它与CT -内射环的关系以及它的一些性质。
3) self-injective ring
自内射环
1.
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。
2.
We prove in this paper that R and an finite simple extension of R have self-injectivity simultaneously, and based on this,give a new proof for the result that every weakly invertible linear finite automaton over R with delay τ has a linear weak inverse with delay τ if and only if R is a self-injective ring.
本文证明了 R与其一种有限单扩张同时具有自内射性 ,从而给出“R上任一延迟τ步弱可逆线性有限自动机都有线性延迟τ步弱逆的充要条件是 R为自内射环”的一个新证明 。
4) right self-injective ring
右自内射环
5) selfp-injective rings
自p-内射环
6) AF-ring
自FP内射环
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