广义分段Koszul代数

Generalization of Piecewise-Koszul Algebras

广义分段Koszul代数(简称为K_p代数)一般是一类二次代数,其平凡模允许有非单纯的投射分解.利用Yoneda-Ext代数E(A)给出了分次代数A是K_p代数的一个充分条件,同时讨论了K_p代数的商代数是否继承K_p性质.

The generalized piecewise-Koszul algebras （also called Kp algebras for short） are generally a class of quadratic algebras whose trivial modules admitting non-pure resolutions. The authors provide a sufficient condition for a graded algebra A to be Kp in terms of its Yoneda-Ext algebra E（A）, and also discuss whether the factor algebras of Kp inherit this property.