论文标题
分级代数的某些扩展的分级相干性
Graded Coherence of Certain Extensions of Graded Algebras
论文作者
论文摘要
令$ \ k $为一个字段，让$ a $ and $ b $连接$ \ n $ raded $ \ k $ -algebras。据说代数$ a $是$ b $分级的直接扩展，前提是有一个分级分级的代数形态$π：a \ to b $，使得$ \kerπ$是免费的$ a $ a $ a-module。假设$ b $分级为左相干，而$ a $是$ b $的级分级扩展。我们描述了$ a $也是$ a $也是左左相干。我们采用标准来证明某些非非核分级扭曲张量产物的分级相干性。
Let $\k$ be a field, and let $A$ and $B$ be connected $\N$-graded $\k$-algebras. The algebra $A$ is said to be a graded right-free extension of $B$ provided there is a surjective graded algebra morphism $π: A \to B$ such that $\kerπ$ is free as a right $A$-module. Suppose that $B$ is graded left coherent, and that $A$ is a graded right-free extension of $B$. We characterize when $A$ is also graded left coherent. We apply our criterion to prove graded coherence of certain non-Noetherian graded twisted tensor products.
