Roth's Equivalence Problem in Unit Regular Rings
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Publication:4116572
DOI10.2307/2042033zbMath0347.15005OpenAlexW4237213301MaRDI QIDQ4116572
Publication date: 1976
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2042033
Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)
Related Items (16)
Constructing and counting regular triangular matrices ⋮ On T-Sylvester equations over commutative rings ⋮ Diagonalization of matrices over regular rings ⋮ On matrix equivalence and matrix equations ⋮ Roth's theorems and decomposition of modules ⋮ The matrix linear unilateral and bilateral equations with two variables over commutative rings ⋮ Matrix equivalence and isomorphism of modules ⋮ Ranks of solutions of the linear matrix equation \(AX + YB = C\) ⋮ Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra ⋮ Diagonalizing triangular matrices via orthogonal Pierce decompositions ⋮ Roth's theorems over commutative rings ⋮ The generalized inverse of a sum with radical element: Applications ⋮ A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity ⋮ Algebraic conditions for the solvability to some systems of matrix equations ⋮ On ideals of regular rings ⋮ Roth's theorems for sets of matrices
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