injective dimension
- injective dimension的基本解释
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内射维数
- 相似词
- 更多 网络例句 与injective dimension相关的网络例句 [注：此内容来源于网络，仅供参考]
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Finally, it investigate QF-ring with right gpm-injective, and obtain the following theorem:Theorem The following statements are equivalent:(1) R is quasi-Frobeniusean ring:(2) R is right noetherian, left pm-injective ring, right pm-injective ring;(3) R is right noetherian, left pm-injective ring, right GP-injective ring;(4) R is right noetherian, left gpm-injective ring, right gpm-injective ring;(5) R is right noetherian, right gpm-injective ring and each right minimal ideal is right annihilator.
最后用右gpm-内射对QF环进行研究，得到了如下定理：定理下列条件等价：(1) R是quasi-Frobeniusean环；(2) R是右Noether，左pm-内射环，右pm-内射环：(3) R是右Noether，左pm-内射环，右GP-内射环；(4) R是右Noether，左gpm-内射环，右gpm-内射环；(5) R是右Noether，右gpm-内射环且每个极小右理想是右零化子。
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In this paper, we study syzygies of injective resolvent s and cosyzygies of injective resolutions, and probe the relationship of injective resolvent s and injective resolutions, and then prove that if R is a Noetherian ring with id≤n, then every left R-module has injective dimension at most n or ∞.
研究了内射预解式的合冲模与内射分解式的上合冲模，并探讨了内射预解式与内射分解式之间的联系，证明了如果环R是Noether环且id≤n，则每个左R-模的内射维数小于等于n或者为∞。
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The injective rings play an important role in the study of rings and categories of modules . First , we introduce the notion of ann-injective rings and CT-injective modules .Second,we make an inquiry into a series of their properties.Third,we give the definition of homological dimension of CT-injective modules.At last,we give the definition of FGT rings which is the extension of cogenerator rings.
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。
- 更多网络解释 与injective dimension相关的网络解释 [注：此内容来源于网络，仅供参考]
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injective dimension：单射维数
injection 单射 | injective dimension 单射维数 | injective envelope 单射包络
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injective dimension：内射维数
injective cochain complex 内射上链复形 | injective dimension 内射维数 | injective function 内射的函数
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left injective dimension：左内射维数
左幺元 left identity element | 左内射维数 left injective dimension | 左内积 left inner product
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right injective dimension：右内射维数
right identity element 右幺元 | right injective dimension 右内射维数 | right inner product 右内积
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injective dimension of modules：模的内射维数
模的内射包|injective hull of a module | 模的内射维数|injective dimension of modules | 模的拟内射包|quasi-injective hull of a module