Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-15T16:42:44.132Z Has data issue: false hasContentIssue false
  • English
  • Français

A Ring of Quotients for Group Rings which is Easy to Describe

Published online by Cambridge University Press:  20 November 2018

W. D. Burgess
W. D. Burgess*
Affiliation:
University of Ottawa, Ottawa, Ontario
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.

Recently Luedeman studied certain idempotent topologizing families of left ideals in semi-group rings AS which arise from such families of left ideals of A. Let ∑ be an idempotent topologizing family of left ideals in A and G a group, let ∑G denote the family of left ideals of AG which contain left ideals of the form LG, L ∈ ∑.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 4 , December 1973 , pp. 497 - 500
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Bourbaki, N., Eléments de mathématiques, fasc. 27, Algèbre commutative, Chapitres 1 et 2, Hermann, Paris, 1961.Google Scholar
2. Burgess, W. D., Rings of quotients of group rings, Canad. J. Math. 21 (1969), 865–875.Google Scholar
3. Kaye, S. M., Ring theoretic properties of matrix rings, Canad. Math. Bull. 10 (1967), 365–374.Google Scholar
4. Lambek, J., Lectures on rings and modules, Ginn-Blaisdell, Waltham, Mass., 1966.Google Scholar
5. Luedeman, J., A note on he Σ(S)-injectivity of R(S), Canad. Math. Bull. 13 (1970), 481–489.Google Scholar
6. Turnidge, D. R., Torsion theories and rings of quotients of Morita equivalent rings, Pacific J. Math. 37 (1971), 225–234.Google Scholar