Ordered ultraconnected rings

Melvin Henriksen; Frank A. Smith

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 1, page 41-47
  • ISSN: 0010-2628

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Henriksen, Melvin, and Smith, Frank A.. "Ordered ultraconnected rings." Commentationes Mathematicae Universitatis Carolinae 031.1 (1990): 41-47. <http://eudml.org/doc/17807>.

@article{Henriksen1990,
author = {Henriksen, Melvin, Smith, Frank A.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {ordered ring; connected ring; unital homomorphism},
language = {eng},
number = {1},
pages = {41-47},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Ordered ultraconnected rings},
url = {http://eudml.org/doc/17807},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Henriksen, Melvin
AU - Smith, Frank A.
TI - Ordered ultraconnected rings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 1
SP - 41
EP - 47
LA - eng
KW - ordered ring; connected ring; unital homomorphism
UR - http://eudml.org/doc/17807
ER -

References

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  1. N. Ailing, Rings of integer-valued continuous functions and nonstandard arithmetic, Trans. Amer. Math. Soc. 118 (1965), 498-525. (1965) MR0184960
  2. R. Börger M. Rajagopalan, When do all ring homomorphisms depend on only one coordinate?, Arch. Math. (Basel) 45 (1985), 223-228. (1985) MR0807654
  3. C. Chang H. Keisler, Model Theory, North Holland Publishing Co., Amsterdam, 1973. (1973) MR0409165
  4. A. Dow, On ultrapowers of Boolean algebras, Topology Proceedings 9 (1984), 269-291. (1984) Zbl0598.03040MR0828984
  5. N. Fine L. Gillman J. Lambeck, Rings of Quotients of Rings of Functions, McGill University Press, Montreal, 1965. (1965) 
  6. L. Gillman M. Jerison, Rings of Continuous Functions, D. Van Nostrand Co., New York, 1960. (1960) MR0116199
  7. J. Lambek, Lectures on Rings and Modules, Blaisdell Publishing Co., Waltham, Mass, 1966. (1966) Zbl0143.26403MR0419493
  8. R. Levy P. Loustanau, Jay Shapiro, The prime spectrum of an infinite product of copies of Z, preprint. 
  9. W. Luxemburg K. Stroyan, Introduction to the Theory of Infinitesimals, Academic Press, New York, 1976. (1976) MR0491163
  10. D. R. Morrison, Bi-regular rings and ideal lattice isomorphisms, Proc. Amer. Math. Soc. 6 (1952), 46-49. (1952) MR0067094
  11. R. S. Pierce, Rings of integer-valued continuous functions, Trans. Amer. Math. Soc. 100 (1961), 371-394. (1961) Zbl0196.15401MR0131438

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