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- W2092681981 abstract "Let R be a principal ideal domain with quotient field F. An R-lattice is a free R-module of finite rank spanning an inner product space over F. The classification problem asks for a reasonably effective set of criteria to determine when two given R-lattices are isometric; that is, when there is an inner-product preserving isomorphism carrying one lattice onto the other. In this paper R is the polynomial ring Fq[x], where Fq is a finite field of odd order q. For Fq[x]-lattices as for Z-lattices the theory splits into “definite” and “indefinite” cases, and this paper settles the classification problem in the definite case." @default.
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- W2092681981 date "2003-10-01" @default.
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- W2092681981 title "Definite quadratic forms over Fq[x]" @default.
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- W2092681981 doi "https://doi.org/10.1016/s0021-8693(03)00114-5" @default.
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