Journal
PROCEEDINGS OF THE 2022 INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION, ISSAC 2022
Volume -, Issue -, Pages 39-43Publisher
ASSOC COMPUTING MACHINERY
DOI: 10.1145/3476446.3535490
Keywords
non-commutative domains; matrices over domains; linear dependence of rows (columns); maximum sets of linearly independent rows (columns); row and column ranks; quotient skew fields
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This statement discusses the applicability of well-known correspondences between sets of linearly independent rows and columns of matrices over non-commutative rings without nontrivial zero divisors.
Some well-known correspondences between sets of linearly independent rows and columns of matrices over fields carry over to matrices over non-commutative rings without nontrivial zero divisors.
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