3 citations · 8 across the 8 of their papers we have counts for
8 papers
Biordered Sets of Regular Rings
James Alexander, E. Krishnan
The set of idempotents of a regular semigroup is given an abstract characterization as a regular biordered set in [2], and in [4] it is shown how a biordered set can be associated…
The -property of a simple arc
J. Ralph Alexander, John E. Wetzel, Wacharin Wichiramala
In 2006 P. Coulton and Y. Movshovich established an unfamilar but note-worthy general property of simple, polygonal, open arcs in the plane. We give a new and quite different proof…
Non-noetherian groups and primitivity of their group algebras
James Alexander, Tsunekazu Nishinaka
We prove that the group algebra of a group over a field is primitive, provided that has a free subgroup with the same cardinality as , and that satisfies th…
Designs from Paley graphs and Peisert graphs
James Alexander
Fix positive integers and so that is prime, , and (mod ). Fix a graph as follows: If is odd or (mod ), let be th…
A graph theoretic encoding of Lucas sequences
James Alexander, Paul Hearding
Some well-known results of Prodinger and Tichy are that the number of independent sets in the -vertex path graph is , and that the number of independent sets in the …
A new method for enumerating independent sets of a fixed size in general graphs
James Alexander, Tim Mink
We develop a new method for enumerating independent sets of a fixed size in general graphs, and we use this method to show that a conjecture of Engbers and Galvin holds for all but…