Homogeneous algebras

被引：48

作者：

Berger, R

Dubois-Violette, M

Wambst, M

机构：

[1] LARAL, Fac Sci & Tech, F-42023 St Etienne 2, France

[2] Univ Paris 11, Phys Theor Lab, UMR 8627, F-91405 Orsay, France

[3] Univ Strasbourg, CNRS, Inst Rech Math Avancee, F-67084 Strasbourg, France

来源：

JOURNAL OF ALGEBRA | 2003年 / 261卷 / 01期

关键词：

D O I：

10.1016/S0021-8693(02)00556-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Various concepts associated with quadratic algebras admit natural generalizations when the quadratic algebras are replaced by graded algebras which are finitely generated in degree I with homogeneous relations of degree N. Such algebras are referred to as homogeneous algebras of degree N. In particular, it is shown that the Koszul complexes of quadratic algebras generalize as N-complexes for homogeneous algebras of degree N. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：172 / 185

页数：14

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