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Ultrafilters and abelian groups
Author(s):
Alfred W.
Hales
Journal:
Bull. Amer. Math. Soc.
82
(1976),
554-556.
MSC (1970):
Primary 20K10;
Secondary 04A20, 54D35
MathSciNet review:
0437655
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Additional information
References:
- 1.
- W. W. Comfort and S. Negrepontis, The theory of ultrafilters, Grundlehren der math. Wiss., Band 211, Springer-Verlag, Berlin and New York, 1974. MR 396267
- 2.
- P. Crawley and A. W. Hales, The structure of abelian p-groups given by certain presentations, J. Algebra 12 (1969), 10-23. MR 39 #307. MR 238947
- 3.
- L. Fuchs, Infinite abelian groups. Vols. I, II, Pure and Appl. Math., vol. 36, Academic Press, New York and London, 1970, 1973. MR 41 #333; 50 #2362. MR 111783
- 4 L. Fuchs, Vector spaces with variations, J. Algebra 35 (1975), 23-38. MR 371995
- 5.
- A. W. Hales, Linear analogues of ultrafilters, Bull. Amer. Math. Soc. 82 (1976), 311-313. MR 400170
- 6.
- P. Hill, On the classification of abelian groups, Lecture notes.
- 7.
- N. Jacobson, Structure of rings, rev. ed., Amer. Math. Soc. Colloq. Publ., vol. 37, Amer. Math. Soc., Providence, R.I., 1964. MR 36 #5158. MR 222106
- 8.
- I. Kaplansky, Infinite abelian groups, Univ. of Michigan Press, Ann Arbor, Mich., 1954 (rev. ed. 1969). MR 16 #444; 38 #2208. MR 65561
- 9.
- M. E. Rudin, Partial orders on the types in ßN, Trans. Amer. Math. Soc. 155 (1971) 353-362. MR 42 #8459. MR 273581
- 10.
- H. Ulm, Zur theorie der abzählbar-unendlichen abelschen gruppen, Math. Ann. 107 (1933), 774-803. MR 1512826
- 11.
- R. B. Warfield, Jr., Classification theorems for p-groups and modules over a discrete valuation ring, Bull. Amer. Math. Soc. 78 (1972), 88-92. MR 45 #378. MR 291284
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14094-3
PII:
S 0002-9904(1976)14094-3
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