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On a vector space analogue of Kneser's theorem

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Publication:996234
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DOI10.1016/J.LAA.2007.04.019zbMath1132.12003OpenAlexW1983095604MaRDI QIDQ996234

Xiang-Dong Hou

Publication date: 13 September 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.04.019


zbMATH Keywords

vector spaceKneser's theoreminseparable extensionseparable extension


Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Inseparable field extensions (12F15) Inverse problems of additive number theory, including sumsets (11P70)


Related Items (5)

Additive combinatorics methods in associative algebras ⋮ Plünnecke and Kneser type theorems for dimension estimates ⋮ Matching subspaces in a field extension. ⋮ Revisiting Kneser's theorem for field extensions ⋮ On the product of vector spaces in a commutative field extension




Cites Work

  • Unnamed Item
  • A generalization of an addition theorem of Kneser.
  • Abschätzung der asymptotischen Dichte von Summenmengen
  • On the Addition of Residue Classes
  • New partial difference sets in \(\mathbb{Z}_{p^2}^t\) and a related problem about Galois rings




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