5 citations · 6 across the 5 of their papers we have counts for
5 papers
A computing strategy and programs to resolve the Gerstenhaber Problem for commuting triples of matrices
John Holbrook, Kevin C. O'Meara
We describe a MATLAB program that could produce a negative answer to the Gerstenhaber Problem by the construction of three commuting matrices over a field …
Weyr structures of matrices and relevance to commutative finite-dimensional algebras
Kevin O'Meara, Junzo Watanabe
We relate the Weyr structure of a square matrix to that of the block upper triangular matrix that has down the main diagonal and first superdiagonal, and z…
The nilpotent regular element problem
P. Ara, K. C. O'Meara
We use George Bergman's recent normal form for universally adjoining an inner inverse to show that, for general rings, a nilpotent regular element need not be unit-regular. Thi…
of separative exchange rings and C*-algebras with real rank zero
P. Ara, K. R. Goodearl, K. C. O'Meara +1
For any (unital) exchange ring whose finitely generated projective modules satisfy the separative cancellation property ( implies $A\co…
A new measure of growth for countable-dimensional algebras
John Hannah, K. C. O'Meara
A new dimension function on countable-dimensional algebras (over a field) is described. Its dimension values for finitely generated algebras exactly fill the unit interval .…