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Turkish Journal of Mathematics

DOI

10.3906/mat-1106-13

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

Keywords

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

First Page

585

Last Page

591

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