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Fenster, D.D.; Schwermer, J. (2005), "Delicate collaboration: Adrian Albert and Helmut Hasse and the
Principal Theorem in Division Algebras",
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Schriften der
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Contributions to the history of number theory in the 20th century
458:(1932), "Beweis eines Hauptsatzes in der Theorie der Algebren",
18:
567:"The Brauer–Hasse–Noether theorem in historical perspective"
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and leads to a complete description of finite-dimensional
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Albert, Nancy E. (2005), "A & His
Algebra, iUniverse,
372:, i.e. can be obtained by an explicit construction from a
275:{\displaystyle A\otimes _{K}K_{v}\simeq M_{d}(K_{v}).}
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619:, Heritage of European Mathematics, Zürich:
198:splits over the corresponding local field
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77:Learn how and when to remove this message
473:Archive for History of Exact Sciences
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289:is isomorphic to the matrix algebra
675:Theorems in algebraic number theory
348:are isomorphic over the completion
95:Albert–Brauer–Hasse–Noether theorem
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503:, vol. 88, New York-Berlin:
432:10.1090/s0002-9947-1932-1501659-x
330:if and only if their completions
144:. It was proved independently by
128:. The theorem is an example of a
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322:over an algebraic number field
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621:European Mathematical Society
501:Graduate Texts in Mathematics
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485:10.1007/s00407-004-0093-6
615:Roquette, Peter (2013),
491:Pierce, Richard (1982),
164:Statement of the theorem
108:which splits over every
32:This article includes a
16:Theorem in number theory
538:Oxford University Press
419:Trans. Amer. Math. Soc.
187:. Suppose that for any
134:algebraic number theory
91:algebraic number theory
61:more precise citations.
374:cyclic field extension
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182:algebraic number field
174:central simple algebra
130:local-global principle
103:algebraic number field
99:central simple algebra
460:J. reine angew. Math.
366:Grunwald–Wang theorem
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158:Abraham Adrian Albert
495:Associative algebras
326:are isomorphic over
310:Using the theory of
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670:Class field theory
613:Revised version —
398:Hasse norm theorem
393:Class field theory
364:Together with the
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34:list of references
650:978-0-595-32817-8
630:978-3-03719-113-2
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53:Please help
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456:Noether, E.
59:introducing
664:Categories
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609:2009-07-05
604:1060.01009
556:1024.16008
530:Reiner, I.
523:0497.16001
448:Brauer, R.
441:0005.05003
404:References
357:for every
110:completion
67:April 2016
582:CiteSeerX
466:: 399–404
452:Hasse, H.
415:Hasse, H.
241:≃
222:⊗
189:valuation
565:(2005),
532:(2003),
387:See also
180:over an
176:of rank
101:over an
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370:cyclic
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570:(PDF)
285:Then
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120:is a
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318:and
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