On the Dimension of Modules and Algebras, VI. Comparison of Global and Algebra Dimension

1 February 1957

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

Vol. 11, 61-65
https://doi.org/10.1017/s002776300000194x

Abstract

Throughout this paper all rings are assumed to have unit elements. A ring Λ is said to be semi-primary if its Jacobson radical N is nilpotent and Г = Λ/N satisfies the minimum condition. The main objective of this paper isTHEOREM I. Let A be a semi-primary algebra over a field K. Let N be the radical of Λ and Г = Λ/N. IfThendim Λ = gl.dim Λ.

This publication has 4 references indexed in Scilit:

On the Dimension of Modules and Algebras (III): Global Dimension
Nagoya Mathematical Journal, 1955
Algebras of cohomologically finite dimension
Commentarii Mathematici Helvetici, 1954
Algebras With Vanishing n-Cohomology Groups
Nagoya Mathematical Journal, 1954
On Irreducible Rings
Annals of Mathematics, 1947