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- Sylvester_domain abstract "In mathematics, a Sylvester domain, named after James Joseph Sylvester by Dicks & Sontag (1978), is a ring in which Sylvester's law of nullity holds. This means that if A is an m by n matrix and B an n by s matrix over R, thenρ(AB) ≥ ρ(A) + ρ(B) – nwhere ρ is the inner rank of a matrix. The inner rank of an m by n matrix is the smallest integer r such that the matrix is a product of an m by r matrix and an r by n matrix.Sylvester (1884) showed that fields satisfy Sylvester's law of nullity and are therefore Sylvester domains.".
- Sylvester_domain wikiPageExternalLink books?id=7zw9AAAAIAAJ&pg=PA133.
- Sylvester_domain wikiPageExternalLink 0022-4049(78)90011-7.
- Sylvester_domain wikiPageID "33813990".
- Sylvester_domain wikiPageRevisionID "486655701".
- Sylvester_domain hasPhotoCollection Sylvester_domain.
- Sylvester_domain subject Category:Ring_theory.
- Sylvester_domain comment "In mathematics, a Sylvester domain, named after James Joseph Sylvester by Dicks & Sontag (1978), is a ring in which Sylvester's law of nullity holds. This means that if A is an m by n matrix and B an n by s matrix over R, thenρ(AB) ≥ ρ(A) + ρ(B) – nwhere ρ is the inner rank of a matrix.".
- Sylvester_domain label "Sylvester domain".
- Sylvester_domain sameAs m.0hhrc07.
- Sylvester_domain sameAs Q7660847.
- Sylvester_domain sameAs Q7660847.
- Sylvester_domain wasDerivedFrom Sylvester_domain?oldid=486655701.
- Sylvester_domain isPrimaryTopicOf Sylvester_domain.