An improved bound for the length of matrix algebras

A. Paz, An application of the Cayley–Hamilton theorem to matrix polynomials in several variables, Linear Multilinear A

1984

Earlier work this paper cites.

T. J. Laffey, Simultaneous reduction of sets of matrices under similarity, Linear Algebra Appl

1986

Earlier work this paper cites.

C. Pappacena, An Upper Bound for the Length of a Finite-Dimensional Algebra, J. Algebra

1997

Earlier work this paper cites.

C. J. Pappacena, L. W. Small, J. Wald, Affine semiprime algebras of GK dimension one are (still) pi, Glasgow Math. J

2003

Earlier work this paper cites.

O. V. Markova, On the length of upper-triangular matrix algebra, Russ. Math. Surv

2005

Cited alongside, same era.

W. E. Longstaff, A. C. Niemeyer, O. Panaia, On the lengths of pairs of complex matrices of size at most five, Bull. Aust. Math. Soc

2006

Cited alongside, same era.

M. S. Lambrou, W. E. Longstaff, On the lengths of pairs of complex matrices of size six, Bull. Aust. Math. Soc

2009

Cited alongside, same era.

M. Sanz, D. Pérez-García, M. M. Wolf, J. I. Cirac, A quantum version of Wielandt’s inequality, IEEE T. Inform. Theory

2010

Later among the works it cites.

H. Radjavi, P. Rosenthal. Simultaneous triangularization. Springer, 2012

2012

Later among the works it cites.

A. Guterman, T. Laffey, O. Markova, H. Šmigoc, A resolution of Paz’s conjecture in the presence of a nonderogatory matrix, Linear Algebra Appl

2018

Closest in time.