17 citations · 34 across the 5 of their papers we have counts for
5 papers
Unit regular elements in corner rings
T. Y. Lam, Will Murray
For any ring \(R\), some characterizations are obtained for unit regular elements in a corner ring \(eRe\) in terms of unit regular elements in \(R\). \noindent {\bf Key Words}: vo…
Nakayama automorphisms of Frobenius algebras
Will Murray
We show that the Nakayama automorphism of a Frobenius algebra over a field is independent of the field (Theorem 4). Consequently, the -dual functor on left -modules a…
Bilinear Forms on Frobenius Algebras
Will Murray
We analyze the homothety types of associative bilinear forms that can occur on a Hopf algebra or on a local Frobenius \(k\)-algebra \(R\) with residue field \(k\). If \(R\) is symm…
Markov Chains for Collaboration
Robert Mena, Will Murray
Consider a system of \(n\) players in which each initially starts on a different team. At each time step, we select an individual winner and an individual loser randomly and the lo…
Möbius Polynomials
Will Murray
We introduce the Möbius polynomial , which gives the number of aperiodic bracelets of length with possible types of gems…