T. Y. Lam

activity

20102024

collaborators

3 papers

math.RA2024

Ring Elements of Stable Range One

Dinesh Khurana, T. Y. Lam

A ring element $a \in R$ is said to be of {\it right stable range one\/} if, for any $t \in R$ , $a R + tR = R$ implies that $a + t b$ is a unit in $R$ for some $b \in R$ …

math.RA2023

A New Determinantal Formula for Three Matrices

Dinesh Khurana, T. Y. Lam

For any three $n \times n$ matrices $A, B, X$ over a commutative ring $S$ , we prove that $det (A + B - A X B) = det (A + B - B X A) \in S$ . This apparently new formula may…

math.RA2010

A quantum-trace determinantal formula for matrix commutators, and applications

Dinesh Khurana, T. Y. Lam, Noam Shomron

In this paper, we establish a determinantal formula for 2 x 2 matrix commutators [X,Y] = XY - YX over a commutative ring, using (among other invariants) the quantum traces of X and…