The Homological Dimension of a Quotient Field

1 February 1966

journal article
research article
Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal

Vol. 27 (1) , 139-142
https://doi.org/10.1017/s0027763000011946

Abstract

Let R be an integral domain, Q its quotient field. For any R-module A we write d(A) for its homological dimension (minimal length of a projective resolution), or d_R(A) if it is necessary to call attention to R.

Keywords

HOMOLOGICAL DIMENSION
MINIMAL
WRITE
QUOTIENT FIELD
PROJECTIVE RESOLUTION

This publication has 3 references indexed in Scilit:

Cotorsion modules
Memoirs of the American Mathematical Society, 1964
Divisible modules
Proceedings of the American Mathematical Society, 1960
Projective Modules
Annals of Mathematics, 1958