中文摘要：

广义分段Koszui代数（简称为Kp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Kp代数的一个充分条件，同时讨论了Kp代数的商代数是否继承Kp性质．

英文摘要：

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.