2 papers
math.RA2014
The Grothendieck group of non-commutative non-noetherian analogues of and regular algebras of global dimension two
Gautam Sisodia, S. Paul Smith
Let be a finite-dimensional positively-graded vector space. Let be a homogeneous element whose rank is . Let , the quotient of the…
math.RA2013
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…