Article ID Journal Published Year Pages File Type
4596317 Journal of Pure and Applied Algebra 2014 30 Pages PDF
Abstract

We introduce a category of cluster algebras with fixed initial seeds. This category has countable coproducts, which can be constructed combinatorially, but no products. We characterise isomorphisms and monomorphisms in this category and provide combinatorial methods for constructing special classes of monomorphisms and epimorphisms. In the case of cluster algebras from surfaces, we describe interactions between this category and the geometry of the surfaces.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory