English translation for "injective resolution"

单射分析
内射分解, 单射分解

Related Translations:

injective:  内射, 单射内射的

injective endomorphism:  内射自同态

injective function:  内射的函数内射函数, 单射函数, 注入函数一一映射

injective module:  内射模

injective mapping:  单射

injective hull:  内射包

injective object:  单射对象

injektiv injective:  单射的

injective dimension:  单射维数内射维数

injective homomorphism:  内射同态

Example Sentences:

	1.	At first a lot of new characterizations of gorenstein injective modules are given , then the author claim that a ring r is qf if and only if every left ( or right ) r - modules are gorenstein injective , and then show that if r is two - side noetherian , r is n - gorenstein if and only if every n - th cosyzygy of an injective resolution of a left ( and right ) r - module is gorenstein injective if and only if every n - th syzygy of an injective resolvent of a left ( and right ) right module is gorenstein injective . finally , we prove that for an n - gorenstein ring r with n > 0 , every module can be embedded in a gorenstein injective module and the injective dimension of its cokernel is at most n - 1 首先给出了gorenstein内射模的许多新的刻画，推出了环r是qf环当且仅当每个左(右)的r -模的单边内射分解式的第n个上合冲是gorenstein内射模，接着推出了左、右noether环只是n - gorenstein环当且仅当每个左(右)模的单边内射分解式的第n个上合冲是gorenstein内射模当且仅当每个左(右)模的单边内射预解式的第n合冲是gorenstein内射模，最后推出了n - gorenstein环中每个模都可嵌入到一个gorenstein内射模之中，且其上核的内射维数不大于n - 1 。
	2.	Since the k - gorenstein property of ring r x m is an important aspect in the research field , in the first chapter , we have got an equivalent condition for r m as a k - gorenstein ring by study the injective resolution of ring r m . the dimensions of rings is one of the most important parts in homological theory 在第一章，我们通过对r ( ? ) m内射分解的考察得到了r ( ? ) m成为k - gorenstein环的一个充分必要条件：维数的研究是同调理论中的核心部分，伴随同调理论的形成，它便一直成为同调代数中研究的焦点。

Similar Words：

"injective homomorphism" English translation, "injective hull" English translation, "injective mapping" English translation, "injective module" English translation, "injective object" English translation, "injectivity" English translation, "injectivity behavior" English translation, "injectivity coefficient" English translation, "injectivity index" English translation, "injectivity profile" English translation