Homomorphisms of matrix semigroups over division rings from dimension two to four

DOI10.1016/j.laa.2009.11.019zbMath1191.15014OpenAlexW2091639175MaRDI QIDQ846310

Janko Marovt

Publication date: 9 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.11.019

zbMATH Keywords

homomorphismsquaternionsmatrix semigroupsmatrices over division ringsnon-degenerate multiplicative maps

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Infinite-dimensional and general division rings (16K40) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Algebraic systems of matrices (15A30) Mappings of semigroups (20M15)

Related Items

Endomorphisms of upper triangular matrix semirings

Cites Work

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• Matrix semigroup homomorphisms into higher dimensions
• Endomorphisms of matrix semigroups over division rings.
• Homomorphisms between multiplicative semigroups of matrices over fields.
• Matrix semigroup homomorphisms from dimension two to three
• More on matrix semigroup homomorphisms
• Maps on idempotent matrices over division rings
• Multiplicative maps of matrix semi-groups
• On homomorphisms of the general linear group
• Homomorphisms of Matrix Semigroups over Division Rings from Dimension Two to Three

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