Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 42 Issue 3
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- Pages.453-467
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- 2005
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
DOI QR Code
SCALAR EXTENSION OF SCHUR ALGEBRAS
- Choi, Eun-Mi (DEPARTMENT OF MATHMATHICS, HANNAM UNIVERSITY)
- Published : 2005.08.01
Abstract
Let K be an algebraic number field. If k is the maximal cyclotomic subextension in K then the Schur K-group S(K) is obtained from the Schur k-group S(k) by scalar extension. In the paper we study projective Schur group PS(K) which is a generalization of Schur group, and prove that a projective Schur K-algebra is obtained by scalar extension of a projective Schur k-algebra where k is the maximal radical extension in K with mild condition.
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References
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