Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 4

Finitistic Dimension Conjectures for representations of quivers

Pages
585–591
DOI
—

Abstract

Let R be a ring and Q be a quiver. We prove the first Finitistic Dimension Conjecture to be true for RQ, the path ring of Q over R, provided that R satisfies the conjecture. In fact, we prove that if the little and the big finitistic dimensions of R coincide and equal n

Özet

Let R be a ring and Q be a quiver. We prove the first Finitistic Dimension Conjecture to be true for RQ, the path ring of Q over R, provided that R satisfies the conjecture. In fact, we prove that if the little and the big finitistic dimensions of R coincide and equal n

Keywords: Finitistic dimension conjecture, path ring, quasi-Frobenius ring, quiver representation