Rings over which the transpose of every invertible matrix is invertible.

DOI10.1016/j.jalgebra.2009.05.029zbMath1182.16033OpenAlexW2084928321MaRDI QIDQ734791

Anjana Khurana, Dinesh Khurana, Tsit-Yuen Lam, Ram Niwas Gupta

Publication date: 13 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.05.029

zbMATH Keywords

commutativity theoremsinvertible matricesJacobson radicalvon Neumann regular ringsnoncommutative rings

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Endomorphism rings; matrix rings (16S50) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

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On n-generalized commutators and Lie ideals of rings, A class of formal matrix rings., A quantum-trace determinantal formula for matrix commutators, and applications, Generalized commutators in matrix rings, On hyper-regularity and unimodularity of Ore polynomial matrices

Cites Work

• Semiperfect rings with abelian group of units
• Exercises in classical ring theory.
• Subgroups and conjugates in semi-prime rings
• Commutativity of Rings with Abelian or Solvable Units
• Lifting Idempotents and Exchange Rings
• Generalized commutators in matrix rings
• Nilpotent Matrices with Invertible Transpose
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