Aluffi torsion-free ideals

JOURNAL OF ALGEBRA

卷:346

Article

Nejad, Abbas Nasrollah¹  Zaare-Nahandi, Rashid¹ 

[1] IASBS, Zanjan 4513766731, Iran

关键词: Aluffi algebra;    Aluffi torsion-free ideal;    Edge ideal;    Ideal of minors;    Blow-up algebra;   

DOI  :  10.1016/j.jalgebra.2011.09.009

来源: Elsevier

【 摘 要 】

A special class of algebras which are intermediate between the symmetric and the Rees algebras of an ideal was introduced by P. Aluffi in 2004 to define characteristic cycle of a hypersurface parallel to conormal cycle in intersection theory. These algebras are recently investigated by A. Nasrollah Nejad and A. Simis who named them Aluffi algebras. For a pair of ideals J subset of I of a commutative ring R, the Aluffi algebra of I/J is called Aluffi torsion-free if it is isomorphic to the Rees algebra of I/J. In this paper, ideals generated by 2-minors of a 2 x n matrix of linear forms and also edge ideals of graphs are considered and some conditions are presented which are equivalent to Aluffi torsion-free property of them. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free