injective dimension in Chinese

• 单射维数
• 内射维数

• "dimension" in Chinese :    n. 1.尺寸。 2.【数学】次元，度(数)，维(数)。 ...
• "left injective dimension" in Chinese :    左内射维数
• "right injective dimension" in Chinese :    右内射维数
• "injective" in Chinese :    内射, 单射; 内射的
• "injective endomorphism" in Chinese :    内射自同态
• "injective envelope" in Chinese :    内射包络, 单射包络
• "injective function" in Chinese :    内射的函数; 内射函数, 单射函数, 注入函数; 一一映射
• "injective homomorphism" in Chinese :    内射同态
• "injective hull" in Chinese :    内射包
• "injective mapping" in Chinese :    单射
• "injective module" in Chinese :    内射模
• "injective object" in Chinese :    单射对象
• "injective resolution" in Chinese :    单射分析; 内射分解, 单射分解
• "injektiv injective" in Chinese :    单射的
• "dimension" in Chinese :    n. 1.尺寸。 2.【数学】次元，度(数)，维(数)。 3.【物理学】因次 ...

• Weak injective module and weak injective dimension
  弱内射模与弱内射维数
• 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。
• 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 。

• "injective dimension" meaning in Russian: инъективная размерность