Lineare Algebra über Fastkörpern

DOI10.1007/BF01213874zbMath0271.15001MaRDI QIDQ759201

Johannes André

Publication date: 1974

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172045

zbMATH Keywords

near algebrasnear fieldsnear vector spaces

Mathematics Subject Classification ID

Near-rings (16Y30) Vector spaces, linear dependence, rank, lineability (15A03) Near-fields (12K05)

Related Items (19)

Geometries with non-commutative joins and their application to near-vector spaces ⋮ Linear mappings of near-vector spaces ⋮ Vektorräume über Fastkörpern. (Vectorspaces over near-fields) ⋮ Unnamed Item ⋮ Toward an intuitive understanding of the structure of near-vector spaces ⋮ The decomposition of finite-dimensional near-vector spaces ⋮ On the number of near-vector spaces determined by finite fields ⋮ Near-vector spaces determined by finite fields ⋮ The model theory of commutative near-vector spaces ⋮ On representation theory and near-vector spaces ⋮ The subspace structure of finite dimensional Beidleman near-vector spaces ⋮ On spanning sets and generators of near-vector spaces ⋮ Matrix near-rings contained in 2-primitive near-rings with minimal subgroups ⋮ On the theory of near-vector spaces ⋮ On counting subspaces of near-vector spaces ⋮ The Multiplicative Automorphisms of a Finite Nearfield, with an Application ⋮ Finite-Dimensional Near-Vector Spaces Over Fields of Prime Order ⋮ On the generalized distributive set of a finite nearfield ⋮ On Subspaces and Mappings of Near-vector Spaces

Cites Work

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• Algebraische und geometrische Kennzeichnung der schwach affinen Vektorraeume über Fastkoerpern
• Kennzeichnung endlicher linearer Gruppen als Permutationsgruppen
• On finite near-fields
• Transversal theory. An account of some aspects of combinatorial mathematics
• Eine Kennzeichnung der Dilatationsgruppen desarguesscher affiner Räume als Permutationsgruppen
• Dicksonsche Fastkörper. (Dickson near-fields)
• Über unvollständige Fastkörper und verallgemeinerte affine Räume
• Conditions of finiteness on sharply 2-transitive groups

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