Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

Ultrafilters and abelian groups


Author: Alfred W. Hales
Journal: Bull. Amer. Math. Soc. 82 (1976), 554-556
MSC (1970): Primary 20K10; Secondary 04A20, 54D35
DOI: https://doi.org/10.1090/S0002-9904-1976-14094-3
MathSciNet review: 0437655
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 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. Helmut Ulm, Zur Theorie der abzählbar-unendlichen Abelschen Gruppen, Math. Ann. 107 (1933), no. 1, 774–803 (German). MR 1512826, https://doi.org/10.1007/BF01448919
  • 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

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 20K10, 04A20, 54D35

Retrieve articles in all journals with MSC (1970): 20K10, 04A20, 54D35


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1976-14094-3

American Mathematical Society