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

DOI

10.3906/mat-1106-13

Keywords

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

First Page

585

Last Page

591

Recommended Citation

ESTRADA, S, & ÖZDEMİR, S (2013). Finitistic Dimension Conjectures for representations of quivers. Turkish Journal of Mathematics 37 (4): 585-591. https://doi.org/10.3906/mat-1106-13

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