3 papers
math.RA2026
Realizing orders in rational sphere product algebras with three generators
Tseleung So, Donald Stanley, Stephen Theriault +1
The realization problem asks which algebras can be realized as the cohomology of spaces. We study this problem in the context of the orders in a graded rational exterior algebra on…
math.NT2026
The degrees of irreducible factors of binomials and multiplicativity of the n-Hartley condition
Matthew Bolan, Ben Williams
We prove that, over a field of characteristic , the degrees of factors of a binomial are divisible by the least such degree. As a consequence, we deduce that for relati…
math.RA2025
Counterexamples in Involutions of Azumaya Algebras
Uriya First, Ben Williams
Suppose is an Azumaya algebra over a ring and is an involution of extending an order- automorphism . We say is extraordinary if there does not e…