Row rank and the structure of matrix subrings

DOI10.1016/0021-8693(91)90070-OzbMath0721.16016MaRDI QIDQ2640679

Ming-Sun Li, Julius M. Zelmanowitz

Publication date: 1991

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

zbMATH Keywords

row rankprime radicalleft ordersubringrings of triangular matricesmatrix ring over a division ringblocked triangular matrix ringuniform (Goldie) dimension

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Algebraic systems of matrices (15A30) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological dimension in associative algebras (16E10) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Directed graphs and Lie superalgebras of matrices ⋮ On uniform dimensions of ideals in right nonsingular rings

Cites Work

• Orders in simple Artinian rings are strongly equivalent to matrix rings
• Lectures on injective modules and quotient rings
• Quotient rings of rings with zero singular ideal
• The Row Rank of a Subring of a Matrix Ring
• Rings with Zero Right and Left Singular Ideals
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