1 citations · 1 across the 5 of their papers we have counts for
5 papers
Category equivalences involving graded modules over quotients of weighted path algebras
Cody Holdaway
Let be a field, a finite directed graph, and its path algebra. Make an $\NN$-graded algebra by assigning each arrow a positive degree. Let be a homogeneous id…
Path algebras and monomial algebras of finite GK-dimension as noncommutative homogeneous coordinate rings
Cody Holdaway
This article sets out to understand the categories $\QGr A$ where is either a monomial algebra or a path algebra of finite Gelfand-Kirillov dimension. The principle questions a…
Category Equivalences Involving Graded Modules Over Weighted Path Algebras and Weighted Monomial Algebras
Cody Holdaway, Gautam Sisodia
Let k be a field, Q a finite directed graph, and kQ its path algebra. Make kQ an N-graded algebra by assigning each arrow a positive degree. Let I be an ideal in kQ generated by a…
Corrigendum to "An equivalence of categories for graded modules over monomial algebras and path algebras of quivers" [J. Algebra, 353(1) (2012) 249-260]
Cody Holdaway, S. Paul Smith
Our published paper contains an incorrect statement of a result due to Artin and Zhang. This corrigendum gives the correct statement of their result and includes a new result that…
An equivalence of categories for graded modules over monomial algebras and path algebras of quivers
Cody Holdaway, S. Paul Smith
Let A be a finitely generated connected graded k-algebra defined by a finite number of monomial relations. Then there is a finite directed graph, Q, the Ufnarovskii graph of A, for…