Hostname: page-component-77c89778f8-sh8wx Total loading time: 0 Render date: 2024-07-17T11:31:05.532Z Has data issue: false hasContentIssue false
  • English
  • Français

On radicals of infinite matrix rings

Published online by Cambridge University Press:  20 January 2009

A. D. Sands
A. D. Sands
Affiliation:
Department of Mathematics, The University, Dundee
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let R be a ring and I an infinite set. We denote by M(R) the ring of row finite matrices over I with entries in R. The set I will be omitted from the notation, as the same index set will be used throughout the paper. For convenience it will be assumed that the set of natural numbers is a subset of I.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 16 , Issue 3 , June 1969 , pp. 195 - 203
Copyright
Copyright © Edinburgh Mathematical Society 1969

References

REFERENCES

(1)Babic, A. M.The Levitzki radical, Dokl. Akad. Nauk. SSSR, 126, no. 2 (1959), 242–243.Google Scholar
(2)Divinsky, N. J.Rings and Radicals (Toronto, 1965).Google Scholar
(3)Jacobson, N.Structure of Rings (Amer. Math. Soc. Colloq. Publ. 37, 1956).Google Scholar
(4)Patterson, E. M.On the radicals of certain rings of infinite matrices, Proc. Royal Soc. Edinburgh, 65 (1961), 263–271.Google Scholar
(5)Pattersong, E. M.On the radicals of rings of row-finite matrices, Proc. Royal Soc. Edinburgh, 66 (1962), 42–46.Google Scholar
(6)Sands, A. D.Prime ideals in matrix rings, Proc. Glasgow Math. Assoc. 2 (1956), 193–195.CrossRefGoogle Scholar
(7)Sands, A. D.Primitive rings of infinite matrices, Proc. Edinburgh Math. Soc. (2) 14 (1964), 47–53.CrossRefGoogle Scholar