免除责任 发表于 2025-3-25 06:01:38
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Progress in Mathematicshttp://image.papertrans.cn/q/image/780049.jpg比赛用背带 发表于 2025-3-25 14:41:14
https://doi.org/10.1007/978-1-4899-3542-7algebra; Division; Finite; language; linear algebra; proof; quadratic form; recursion; ring; time; Vector spacOutshine 发表于 2025-3-25 16:38:21
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Isomorphisms between Lattices of Linear Subspaces Which are Induced by Isometries,Let E be a vector space over the division ring k and .(E) the lattice of all linear subspaces of E. If Ē is a vector space over the division ring k̄ and τ: .(E) → .(Ē) a lattice isomorphism then by the Fundamental Theorem of Projective Geometry ( p. 44) τ is induced by a semilinear map T: E → Ē if we assume that dim E ≥ 3.DIKE 发表于 2025-3-26 03:29:42
Subspaces in Trace-Valued Spaces with Many Isotropic Vectors,The classical Theorem of Witt says that any isometry T.: F → F̄ between . dimensional subspaces F, F̄ of a non degenerate tracevalued space (E, Φ) can be extended to an isometry T: E → E (, Satz 4 and Anmerkung p. 31).CLAY 发表于 2025-3-26 04:34:55
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Involutions in Hermitean Spaces in Characteristic Two,Fields and forms are as specified under the caption of Chapter VIII. In addition we shall often assume that the field is such thatMetamorphosis 发表于 2025-3-26 12:53:57
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,Classification of ⊥-Dense Subspaces with Definite Forms,The fields k admitted in this chapter are the same as those of Chapter Twelve but with the additional proviso that k. is archimedean ordered. (E, Φ) will be a non degenerate hermitean space of dimension א. which is weakly universal and has l ∈||Φ||. In contrast to Chapter Twelve the space (E, Φ) is not assumed to be positive definite.