Finite-Dimensional Near-Vector Spaces Over Fields of Prime Order

DOI10.1080/00927870902855549zbMath1195.16046OpenAlexW1995333300MaRDI QIDQ3406584

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Publication date: 19 February 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870902855549

zbMATH Keywords

near-fieldsnear-vector spacesmaximal regular subspaces

Mathematics Subject Classification ID

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

Related Items

Linear mappings of near-vector spaces ⋮ Near-vector spaces determined by finite fields ⋮ The model theory of commutative near-vector spaces ⋮ On the theory of near-vector spaces ⋮ On counting subspaces of near-vector spaces ⋮ Units in Near-Rings ⋮ The Multiplicative Automorphisms of a Finite Nearfield, with an Application ⋮ On Subspaces and Mappings of Near-vector Spaces

Cites Work

• Lineare Algebra über Fastkörpern
• Matrix near-rings contained in 2-primitive near-rings with minimal subgroups
• Elementary Methods in Number Theory