3 papers
math.AC2018
Linkage and Intermediate C-Gorenstein Dimensions
Joseph P. Brennan, Alexander York
This paper brings together two theories in algebra that have had been extensively developed in recent years. First is the study of various homological dimensions and what informati…
math.AC2018
An Extension of a Theorem of Frobenius and Stickelberger to Modules of Projective Dimension One over a Factorial Domain
Joseph P. Brennan, Alexander York
Let be a commutative ring. A quasi-Gorenstein -module is an -module such that the grade of the module and the projective dimension of the module are equal and the canonic…
math.CO2015
A Note on Weighted Rooted Trees
Zi-Xia Song, Talon Ward, Alexander York
Let be a tree rooted at . Two vertices of are related if one is a descendant of the other; otherwise, they are unrelated. Two subsets and of are unrelated…