G. Sisodia

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math.RA2014

The Grothendieck group of non-commutative non-noetherian analogues of $P^{1}$ and regular algebras of global dimension two

Gautam Sisodia, S. Paul Smith

Let $V$ be a finite-dimensional positively-graded vector space. Let $b \in V \otimes V$ be a homogeneous element whose rank is $dim (V)$ . Let $A = T V / (b)$ , 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…

The Grothendieck group of non-commutative non-noetherian analogues of P1 and regular algebras of global dimension two

Category Equivalences Involving Graded Modules Over Weighted Path Algebras and Weighted Monomial Algebras

The Grothendieck group of non-commutative non-noetherian analogues of $P^{1}$ and regular algebras of global dimension two