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Saltman, David J.

Division algebras over discrete valued fields. (English) Zbl 0442.16016

Commun. Algebra 8, 1749-1774 (1980).
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Cited in 1 Review
Cited in 4 Documents

MSC:

16Kxx Division rings and semisimple Artin rings
16P10 Finite rings and finite-dimensional associative algebras
16W20 Automorphisms and endomorphisms
12E15 Skew fields, division rings
12F10 Separable extensions, Galois theory

Keywords:

cyclic algebras; central division algebra; discrete valued field; u- Galois extension; maximal subfields; level

Citations:

Zbl 0016.05102
Cite Review PDF
Full Text: DOI

References:

[1] Albert A., A.M.S. Bull 44 pp 649– (1938) · Zbl 0019.29002 · doi:10.1090/S0002-9904-1938-06831-0
[2] Albert A., Structure of Algebras 26 (1961)
[3] Dickson L., L Algebras and Their Arithmetics (1960)
[4] Gerstenhaber M., Annals of-Math 88 (1) pp 1– (1968) · Zbl 0182.05902 · doi:10.2307/1970553
[5] Jacobson N., P. I. Algebras (1975) · Zbl 0326.16013
[6] Jacobson N., Lie Algebras (1962)
[7] Saltman D., Proc. Amer. Math. Soc 62 (2) pp 223– (1977)
[8] Saltman D., Proc. Nat. Acad.U.S.A 77 (3) pp 1250– (1980) · Zbl 0445.12010 · doi:10.1073/pnas.77.3.1250
[9] Schacher M., Ring Theory II (1977)
[10] Schilling O., Theory of Valuations (1950) · Zbl 0037.30702 · doi:10.1090/surv/004
[11] Shatz S., Profinite Groups, Arithmetic, and Geometry (1972) · Zbl 0236.12002 · doi:10.1515/9781400881857
[12] Witt E., J. fur Math 176 pp 31– (1937)
[13] Yuan S., Ann. of Math 82 pp 434– (1965) · Zbl 0173.03301 · doi:10.2307/1970706
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