Ordered ultraconnected rings
Henriksen, Melvin ; Smith, Frank A.
Commentationes Mathematicae Universitatis Carolinae, Tome 031 (1990), p. 41-47 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1990-01-01
Classification:  03H15,  06F25,  11U10,  13A17,  16D70 
@article{106818,
     author = {Melvin Henriksen and Frank A. Smith},
     title = {Ordered ultraconnected rings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {031},
     year = {1990},
     pages = {41-47},
     zbl = {0726.06011},
     mrnumber = {1056170},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106818}
}

Henriksen, Melvin; Smith, Frank A. Ordered ultraconnected rings. Commentationes Mathematicae Universitatis Carolinae, Tome 031 (1990) pp. 41-47. http://gdmltest.u-ga.fr/item/106818/

N. Ailing Rings of integer-valued continuous functions and nonstandard arithmetic, Trans. Amer. Math. Soc. 118 (1965), 498-525. (1965) | MR 0184960

R. Börger M. Rajagopalan When do all ring homomorphisms depend on only one coordinate?, Arch. Math. (Basel) 45 (1985), 223-228. (1985) | MR 0807654

C. Chang H. Keisler Model Theory, North Holland Publishing Co., Amsterdam, 1973. (1973) | MR 0409165

A. Dow On ultrapowers of Boolean algebras, Topology Proceedings 9 (1984), 269-291. (1984) | MR 0828984 | Zbl 0598.03040

N. Fine L. Gillman J. Lambeck Rings of Quotients of Rings of Functions, McGill University Press, Montreal, 1965. (1965)

L. Gillman M. Jerison Rings of Continuous Functions, D. Van Nostrand Co., New York, 1960. (1960) | MR 0116199

J. Lambek Lectures on Rings and Modules, Blaisdell Publishing Co., Waltham, Mass, 1966. (1966) | MR 0419493 | Zbl 0143.26403

R. Levy P. Loustanau; Jay Shapiro The prime spectrum of an infinite product of copies of Z, preprint.

W. Luxemburg K. Stroyan Introduction to the Theory of Infinitesimals, Academic Press, New York, 1976. (1976) | MR 0491163

D. R. Morrison Bi-regular rings and ideal lattice isomorphisms, Proc. Amer. Math. Soc. 6 (1952), 46-49. (1952) | MR 0067094

R. S. Pierce Rings of integer-valued continuous functions, Trans. Amer. Math. Soc. 100 (1961), 371-394. (1961) | MR 0131438 | Zbl 0196.15401