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artinian ring

  • 阿丁环，Artin 环

专业释义英英释义

  • 左阿廷环 - 引用次数：2

    In 1954 S. Eilenberg showed that the determinant of the Cartan matrix of an artinian ring R of finite global dimension must be ±1,and conjecture the determinant of the Cartan matrix is 1.

    1954年Eilenberg证明了有限维阿廷环的Cartan矩阵的行列式是±1，并提出了著名的Cartan矩阵猜想：当R是整体维数有限的左阿廷环时，detC(R)=1。

    参考来源 - 左阿廷环的Cartan矩阵与余倾斜模
    阿尔廷环
    阿丁环

·2,447,543篇论文数据，部分数据来源于NoteExpress

Artinian ring

  • abstract: In abstract algebra, an Artinian ring is a ring that satisfies the descending chain condition on ideals. They are also called Artin rings and are named after Emil Artin, who first discovered that the descending chain condition for ideals simultaneously generalizes finite rings and rings that are finite-dimensional vector spaces over fields.

以上来源于: WordNet

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