| Title:
|
Ordered ultraconnected rings (English) |
| Author:
|
Henriksen, Melvin |
| Author:
|
Smith, Frank A. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
31 |
| Issue:
|
1 |
| Year:
|
1990 |
| Pages:
|
41-47 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03H15 |
| MSC:
|
06F25 |
| MSC:
|
11U10 |
| MSC:
|
13A17 |
| MSC:
|
16D70 |
| idZBL:
|
Zbl 0726.06011 |
| idMR:
|
MR1056170 |
| . |
| Date available:
|
2008-06-05T21:41:56Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106818 |
| . |
| Reference:
|
[A] N. Ailing: Rings of integer-valued continuous functions and nonstandard arithmetic.Trans. Amer. Math. Soc. 118 (1965), 498-525. MR 0184960 |
| Reference:
|
[BR] R. Börger M. Rajagopalan: When do all ring homomorphisms depend on only one coordinate?.Arch. Math. (Basel) 45 (1985), 223-228. MR 0807654 |
| Reference:
|
[CK] C. Chang H. Keisler: Model Theory.North Holland Publishing Co., Amsterdam, 1973. MR 0409165 |
| Reference:
|
[D] A. Dow: On ultrapowers of Boolean algebras.Topology Proceedings 9 (1984), 269-291. Zbl 0598.03040, MR 0828984 |
| Reference:
|
[FGL] N. Fine L. Gillman J. Lambeck: Rings of Quotients of Rings of Functions.McGill University Press, Montreal, 1965. |
| Reference:
|
[GJ] L. Gillman M. Jerison: Rings of Continuous Functions.D. Van Nostrand Co., New York, 1960. MR 0116199 |
| Reference:
|
[L] J. Lambek: Lectures on Rings and Modules.Blaisdell Publishing Co., Waltham, Mass, 1966. Zbl 0143.26403, MR 0419493 |
| Reference:
|
[LLS] R. Levy P. Loustanau, Jay Shapiro: The prime spectrum of an infinite product of copies of Z.preprint. |
| Reference:
|
[LS] W. Luxemburg K. Stroyan: Introduction to the Theory of Infinitesimals.Academic Press, New York, 1976. MR 0491163 |
| Reference:
|
[M] D. R. Morrison: Bi-regular rings and ideal lattice isomorphisms.Proc. Amer. Math. Soc. 6 (1952), 46-49. MR 0067094 |
| Reference:
|
[P] R. S. Pierce: Rings of integer-valued continuous functions.Trans. Amer. Math. Soc. 100 (1961), 371-394. Zbl 0196.15401, MR 0131438 |
| . |