English translation for "内射维数"

injective dimension

Example Sentences:

	1.	Weak injective module and weak injective dimension 弱内射模与弱内射维数
	2.	Fp - selfinjective dimension over coherent rings 内射维数
	3.	In chapter 3 , we discuss n - flat modules and n - fp - injective modules , we define n - flat dimension and n - fp - injective dimension , we consider n - flat modules and n - fp - injective modules in commutative n - coherent rings , their properties are similar to flat and injectivc modules in commutative coherent rings 在第三章中，我们主要讨论了n -平坦模和n - fp内射模，定义了n -平坦维数和n - fp内射维数，并考虑了交换n -凝聚环中的n -平坦模和n - fp内射模。他们有类似于交换凝聚环中的平坦模和内射模的性质。
	4.	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 。

Similar Words：

"内射上链复形" English translation, "内射束分离层" English translation, "内射同态" English translation, "内射维度" English translation, "内射维度、射影维度与同调维度" English translation, "内射性" English translation, "内射自同态" English translation, "内射作用" English translation, "内设机构" English translation, "内设荧光灯" English translation