Filtered algebra

In mathematics, a filtered algebra is a generalization of the notion of a graded algebra. Examples appear in many branches of mathematics, especially in homological algebra and representation theory.

A filtered algebra over the field $k$ is an algebra $(A,\cdot)$ over $k$ which has an increasing sequence $\{0\} \subset F_0 \subset F_1 \subset \cdots \subset F_i \subset \cdots \subset A$ of subspaces of $A$ such that

单词	Filtered algebra
释义	Filtered algebra 英语百科 Filtered algebra In mathematics, a filtered algebra is a generalization of the notion of a graded algebra. Examples appear in many branches of mathematics, especially in homological algebra and representation theory. A filtered algebra over the field $k$ is an algebra $(A,\cdot)$ over $k$ which has an increasing sequence $\{0\} \subset F_0 \subset F_1 \subset \cdots \subset F_i \subset \cdots \subset A$ of subspaces of $A$ such that
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