自内射代数上的d-Koszul代数  

d-Koszul algebra over self-injective algebra

作　　者：吕家凤[1] 王雪[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2016年第3期253-257,共5页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(11571316);浙江省自然科学基金资助项目(LY16A010003)

摘　　要：主要引入了自内射d-Koszul代数的概念,研究了它的一些基本性质.运用反证法和数学归纳法等方法得到了2个主要结果:一是证明自内射d-Koszul代数是d-齐次代数;二是证明自内射d-Koszul复形恰好是其平凡模的一个极小分次投射分解.因此,得到了自内射d-Koszul代数与经典的d-Koszul代数具有很多类似性质的结论.The notion of self-injective algebra was introduced and some related properties ot such atgebras were silldied. By using the reduction to absurdity and mathematical induction, it was proved that （ 1 ） self-injective d-Koszul algebras were d-homogeneous graded algebras; and （2） the self-injective d-Koszul complex was a mininrdl graded projective resolution of the trivial A-module Ao. Therefore, it was concluded that self-injective alsebras had many similar properties as classic d-Koszul algebras.

关 键 词：自内射d-Koszul代数 d-齐次代数 复形 投射分解 

分 类 号：O175.25[理学—数学]