5 papers
Enumerating Diagonalizable Matrices over
Catherine Falvey, Heewon Hah, William Sheppard +2
Although a good portion of elementary linear algebra concerns itself with matrices over a field such as or , many combinatorial problems naturally surface…
The Density of Tuples Restricted by Relatively r-Prime Conditions
Brian Sittinger, Vickie Chen
In order to consider j-wise relative r-primality conditions that do not necessarily require all j-tuples of elements in a Dedekind domain to be relatively r-prime, we define the no…
The Probability that Ideals in a Number Ring are k-wise Relatively r-Prime
Ryan D. DeMoss, Brian D. Sittinger
We say that n ideals of algebraic integers in a fixed number ring are k-wise relatively r-prime if any k of them are relatively r-prime. In this article, we provide an exact formul…
Generating sets for Clifford Algebras
Brian Sittinger, Ricardo Suárez, Alfonso Zamora
The aim of this paper is to find generating sets of commuting involutions and use them to explicitly construct minimal representations of Clifford algebras . By result…
Quotients of Primes in an Algebraic Number Ring
Brian D. Sittinger
It has been established on many occasions that the set of quotients of prime numbers is dense in the set of positive real numbers. More recently, it has been proved that the set of…