On Euler characteristic of modules
type: Item
instance of: scholarly article
title: On Euler characteristic of modules
zbMATH Open document ID: 0686.16018
published in: Chinese Annals of Mathematics. Series B
publication date: 1989-01-01T00:00:00Z
review text: Let R be a commutative ring. The author shows that the Euler characteristic is multiplicative on tensor products of stable free R- modules. As an application he obtains the following result: Assuming that there is an isomorphism f: \(K_ 0(R)\to {\mathbb{Z}}\), the Euler characteristic is defined for all finitely generated projective R-modules and coincides with f.
Mathematics Subject Classification ID: 16Exx
Mathematics Subject Classification ID: 16E20
zbMATH DE Number: 4123938
zbMATH Keywords: Euler characteristic
zbMATH Keywords: tensor products
zbMATH Keywords: stable free R-modules
zbMATH Keywords: finitely generated projective R-modules
author: Tong Wenting
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4123938