Elsevier

Journal of Algebra

Volume 493, 1 January 2018, Pages 57-78
Journal of Algebra

Some conjectures on generalized cluster algebras via the cluster formula and D-matrix pattern

https://doi.org/10.1016/j.jalgebra.2017.08.034Get rights and content
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Abstract

In the theory of generalized cluster algebras, we build the so-called cluster formula and D-matrix pattern. Then as applications, some fundamental conjectures of generalized cluster algebras are solved affirmatively.

Keywords

Cluster algebra
Generalized cluster algebra
Exchange graph
Cluster pattern
Cluster formula

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