排名真古怪 发表于 2025-3-28 18:22:24

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巧思 发表于 2025-3-28 21:46:11

Tiago Roux Oliveira,Leonid Fridman,Liu HsuLet . be a field and let .[.] = .[., ... , .] be the polynomial algebra in . variables ., ... , . over .. Sometimes we prefer to denote the elements of . by ., etc. In this chapter, we study the group of .-algebra automorphisms Aut(.[., ... , .]), . ≥ 2.

phytochemicals 发表于 2025-3-28 23:44:42

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Spirometry 发表于 2025-3-29 03:31:40

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排名真古怪 发表于 2025-3-29 08:46:19

5 Voeding bij kauw- en slikstoornissen,Leibniz algebras are possible non-(anti)commutative analogs of Lie algebras. These algebras have appeared in under the name “D-algebras”. In J.-L. Loday and T. Pirashvili studied these analogs from the point of view of homological algebra.

石墨 发表于 2025-3-29 14:03:25

The Jacobian ConjectureIn this chapter, we address the most famous of the problems about polynomial mappings: .. If for . polynomials ., ... , . ∈ .[., ... , .], the corresponding Jacobian matrix is invertible, then .[., ... , .] = .[., ... , .].

Ceremony 发表于 2025-3-29 17:05:56

Nagata’s ProblemLet . be a field and let .[.] = .[., ... , .] be the polynomial algebra in . variables ., ... , . over .. Sometimes we prefer to denote the elements of . by ., etc. In this chapter, we study the group of .-algebra automorphisms Aut(.[., ... , .]), . ≥ 2.

ONYM 发表于 2025-3-29 22:02:48

The Embedding ProblemLet .[., ... , .] be the polynomial algebra in n variables over a field .. Any collection of polynomials ., ... , . from .[., ... , .] determines an algebraic variety {. = 0, . = 1, ... , .} in the affine space .. We shall denote this algebraic variety by . (., ... , .).

Foreshadow 发表于 2025-3-29 23:54:11

Coordinate PolynomialsLet . = .[., ... , .] be the polynomial algebra over a field . of characteristic 0. Recall that a polynomial . ∈ . is . if it can be included in a generating set of cardinality . of the algebra ..

勋章 发表于 2025-3-30 07:15:14

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查看完整版本: Titlebook: Combinatorial Methods; Free Groups, Polynom Alexander A. Mikhalev,Vladimir Shpilrain,Jie-Tai Y Book 2004 Springer Science+Business Media Ne