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The center of a simple
algebra
Timothy V. Fossum |
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Vol. 50 (1974), No. 1, 43–45
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Abstract |
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The following theorem is proved: Let A be a finite-dimensional simple K-algebra, K a field. If E is an extension of K and if M is an absolutely irreducible left A ⊗K E-module with character χ;A⊗KE → E, then χ(A) is a subfield of E which is K-isomorphic to the center of A. |
Mathematical Subject Classification 2000
Primary: 16A40
Secondary: 20C05
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Milestones
Received: 28 September 1972
Published: 1 January 1974
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Authors |
| Timothy V. Fossum | |
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