Warfield group
In algebra, a Warfield group, studied by R. B. Warfield Jr. in 1972,[1] is a summand of a simply presented abelian group.
References
- ↑ Warfield, R. B. Jr. (1972), "Classification theorems for p-groups and modules over a discrete valuation ring" (PDF), Bulletin of the American Mathematical Society, 78: 88–92, doi:10.1090/S0002-9904-1972-12870-2, ISSN 0002-9904, MR 0291284
Further reading
- Hunter, Roger; Richman, Fred (1981), "Global Warfield groups" (PDF), Transactions of the American Mathematical Society, 266 (2): 555–572, doi:10.1090/S0002-9947-1981-0617551-X, JSTOR 1998440, MR 0617551
- Hunter, Roger; Richman, Fred; Walker, Elbert (1978), "Existence theorems for Warfield groups", Transactions of the American Mathematical Society, 235: 345–362, doi:10.1090/S0002-9947-1978-0473044-4, JSTOR 1998225, MR 0473044
- Hill, Paul; Ullery, William (1998), "The transitivity of local Warfield groups", Journal of Algebra, 208 (2): 643–661, doi:10.1006/jabr.1998.7539, MR 1655471
- Ullery, William (2011), "Almost Warfield groups", The Rocky Mountain Journal of Mathematics, 41 (6): 2045–2055, doi:10.1216/RMJ-2011-41-6-2045, MR 2854752
- Fuchs, L.; Goodearl, K. R.; Stafford, J. T.; Vinsonhaler, C. (1992), Abelian Groups and Noncommutative Rings: A Collection of Papers in Memory of Robert B. Warfield, Jr., Contemporary Mathematics, vol. 130, American Mathematical Society, Providence, RI, doi:10.1090/conm/130, ISBN 0-8218-5142-X, MR 1176103
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