Norms on R[X
1, ... , X
r
] Which Are Multiplicative on R |
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| Authors: | Ghiocel Groza Nicolae Popescu Alexandru Zaharescu |
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| Institution: | (1) Department of Mathematics, Technical University of Civil Engineering, Lacul Tei 124, Sec. 2, RO-020396 Bucharest, Romania;(2) Romanian Academy, Institute of Mathematics, P.O. Box 1-764, RO-70700 Bucharest, Romania;(3) Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL 61801, USA |
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| Abstract: | Let R be a commutative ring with identity, and let | | be a non-trivial absolute value on R. We study the R-algebra norms on the polynomial algebra RX
1, ... , X
r
] which extend | |.
Received: March 22, 2007. Revised: October 2, 2007. |
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| Keywords: | Primary 11S75 Secondary 11C08 |
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