3 papers
math.CO2026
A study of -ary partitions whose conjugates are -ary
Geoffrey D. Dietz, Timothy B. Flowers, Shannon R. Lockard
While people have studied -ary partitions of an integer and studied conjugation of partitions of , these topics are rarely mixed because the -ary property is almost al…
math.AC2005
Big Cohen-Macaulay Algebras and Seeds
Geoffrey D. Dietz
We delve into the properties possessed by algebras, which we have termed seeds, that map to big Cohen-Macaulay algebras. We will show that over a complete local domain of positive…
math.AC2005
Tight Closure of Finite Length Modules in Graded Rings
Geoffrey D. Dietz
We look at how the equivalence of tight closure and plus closure (or Frobenius closure) in the homogeneous m-coprimary case implies the same closure equivalence in the non-homogene…