Koszulity of Algebras with Nonpure Resolutions
Koszulity of Algebras with Nonpure Resolutions
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DOI：
10.1080/00927870902855531
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发表时间：
2009-12
影响因子：
0.7
通讯作者：
D. Lu;Junru Si
中科院分区：
文献类型：
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作者：
D. Lu;Junru Si
讨论了平凡模具有非纯分辨的阶代数的若干同调性质。这样的代数包括类型为（12221）和（13431）的Artin-Schelter正则代数。在一定条件下，一个具有非纯分辨率的模块被分解为两个具有纯分辨率的模块的扩展。
We discuss certain homological properties of graded algebras whose trivial modules admit nonpure resolutions. Such algebras include both of Artin–Schelter regular algebras of types (12221) and (13431). Under certain conditions, a module with nonpure resolution is decomposed to form an extension by two modules with pure resolutions.