%0 Journal Article
%T 二次Gr？bner基及Orlik-Solomon代数同构<br>Quadratic Gr？bner basis and the isomorphism of Orlik-Solomon algebras
%A 高瑞梅
%A 孙艳&lt
%A br&gt
%A GAO Rui-mei
%A SUN Yan
%J 山东大学学报（理学版）
%D 2015
%R 10.6040/j.issn.1671-9352.0.2015.080
%X 摘要： Orlik-Solomon代数是基于构形A的外代数E模去一个齐次理想I的商代数。研究了二次构形与二次Gr？bner基之间的关系,得到了中心构形A是一个二次构形当且仅当I具有二次Gr？bner基,给出了直接证明。对于构形的Orlik-Solomon代数,分别针对中心构形和仿射构形给出了其最高次分支的同构定理。<br>Abstract: The Orlik-Solomon algebra is the quotient of the exterior algebra E based on A by a homogeneous ideal I. The relations between a quadratic arrangement and a quadratic Gr？bner basis are studied. And the proof of the conclusion that a central arrangement is a quadratic arrangement if and only if I has a quadratic Gr？bner basis is given. We do some research on the Orlik-Solomon algebras for central and affine arrangements, and give the isomorphism theorems for the top dimensional parts of Orlik-Solomon algebras
%K 二次构形
%K 二次Gr？
%K 标架
%K 同构
%K bner基
%K Orlik-Solomon代数
%K &lt
%K br&gt
%K the quadratic arrangement
%K the quadratic Gr？
%K isomorphism
%K bner basis
%K framing
%K Orlik-Solomon algebra
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2015.080