排名真古怪 发表于 2025-3-28 18:22:24
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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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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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