Hostname: page-component-5c6d5d7d68-txr5j Total loading time: 0 Render date: 2024-08-26T23:23:15.896Z Has data issue: false hasContentIssue false
  • English
  • Français

On a Class of Projective Modules Over Central Separable Algebras II

Published online by Cambridge University Press:  20 November 2018

George Szeto
George Szeto*
Affiliation:
Bradley University, Peoria, Illinois
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.

The purpose of this paper is to continue the work of [7]. Throughout the paper all notations shall have the same meanings as those in [7]; that is, the ring R is commutative with identity, B(R) is the set of idempotents in R, Spec B(R) is the set of prime ideals in B(R), and Ue for e in B(R) denotes the set {x/x in Spec B(R) with 1—e in x}. Then from [6] we know that {Ue/e in B(R)} forms a basic open set for a topology imposed in Spec B(R) and this topological space is totally disconnected, compact and Hausdorff.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 15 , Issue 3 , September 1972 , pp. 411 - 415
Copyright
Copyright © Canadian Mathematical Society 1972

References

1. Childs, L. and DeMeyer, F., On automorphisms of separable algebras, Pacific J. Math. 23 (1967), 25-34.Google Scholar
2. DeMeyer, F., Automorphisms of separable algebras II, Pacific J. Math. 32 (1970), 621-631.Google Scholar
3. DeMeyer, F., Projective modules over central separable algebras, Canad. J. Math. 21 (1969), 39-43.Google Scholar
4. Magid, A., Pierce's representation and separable algebras, Illinois J. Math. 15 (1971), 114-121.Google Scholar
5. Magid, A., Locally Galois algebras, Pacific J. Math. 33 (1970), 707-724.Google Scholar
6. Pierce, R., Modules over commutative rings, Memoirs Amer. Math. Soc. 70, 1967.Google Scholar
7. Szeto, G., On a class of projective modules over central separable algebras, Canad. Math. Bull. 14 (1971), 415-417.Google Scholar
8. Zelinsky, D. and Villamayor, O., Galois theory for rings with infinitely many idempotents Nagoya Math. J. 35 (1969), 83-98.Google Scholar