Warfield group
From HandWiki
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", Bulletin of the American Mathematical Society 78: 88–92, doi:10.1090/S0002-9904-1972-12870-2, ISSN 0002-9904, https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society/volume-78/issue-1/Classification-theorems-for-p-groups-and-modules-over-a-discrete/bams/1183533408.pdf
Further reading
- Hunter, Roger; Richman, Fred (1981), "Global Warfield groups", Transactions of the American Mathematical Society 266 (2): 555–572, doi:10.1090/S0002-9947-1981-0617551-X, https://scispace.com/pdf/global-warfield-groups-3ea295s09c.pdf
- 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
- Hill, Paul; Ullery, William (1998), "The transitivity of local Warfield groups", Journal of Algebra 208 (2): 643–661, doi:10.1006/jabr.1998.7539
- Ullery, William (2011), "Almost Warfield groups", The Rocky Mountain Journal of Mathematics 41 (6): 2045–2055, doi:10.1216/RMJ-2011-41-6-2045
- 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, 130, American Mathematical Society, Providence, RI, doi:10.1090/conm/130, ISBN 0-8218-5142-X
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