Matrix near-rings contained in 2-primitive near-rings with minimal subgroups

DOI10.1016/0021-8693(92)90195-RzbMath0764.16018OpenAlexW2032952311MaRDI QIDQ1188157

Andries P. J. Van der Walt

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90195-r

zbMATH Keywords

minimal subgroupscomplete set of distributive idempotentsdense subnear-ringsfinite dimensional near vector spacesfixed point free groups of automorphismsgeneralized matrix near-ringstwo-primitive near-rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Near-rings (16Y30) Automorphisms of abstract finite groups (20D45) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (16)

Geometries with non-commutative joins and their application to near-vector spaces ⋮ Linear mappings of near-vector spaces ⋮ Unnamed Item ⋮ On the near-ring counterpart of the matrix ring isomorphism \(M_{mn}(R)\cong M_ n(M_ m(R))\) ⋮ The decomposition of finite-dimensional near-vector spaces ⋮ 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 ⋮ When is a centralizer near-ring isomorphic to a matrix near-ring? ⋮ 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 Subspaces and Mappings of Near-vector Spaces

Cites Work

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• Lineare Algebra über Fastkörpern
• Centralizer representations of near-fields
• Matrix near rings
• Prime ideals and nil radicals in near-rings
• PRIMITIVITY IN MATRIX NEAR-RINGS
• Left ideals in matrix near-rings

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