On invariance of the Euler class groups under a subintegral base change

JOURNAL OF ALGEBRA

卷:398

Article

Das, Mrinal Kanti¹  Zinna, Md. Ali¹ 

[1] Indian Stat Inst, Stat Math Unit, Kolkata 700108, India

关键词: Euler class groups;    Subintegral and seminormal extensions;    Projective modules;    Efficient generation of ideals;   

DOI  :  10.1016/j.jalgebra.2013.09.024

来源: Elsevier

【 摘 要 】

Let R be a commutative Noetherian ring and R hooked right arrow S be a subintegral extension. It is proved that the top Euler class group of R is isomorphic to the top Euler class group of S. An example is given to show that similar conclusion does not hold for integral (but not subintegral) extension of rings. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free