We relax the definition of a string algebra to also include infinite-dimensional algebras such
as $ k [x, y]/(xy) $. Using the functorial filtration method, which goes back to Gelfand and …

Ringel’s conjecture for domestic string algebras | SpringerLink Skip to main content
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Krull-Gabriel dimension of 1-domestic string algebras Prest, Mike and Puninski, Gena 2002
MIMS EPrint: 2006.124 Manchester Inst Page 1 Krull-Gabriel dimension of 1-domestic string …

Let A be a finite dimensional string algebra over a field k (as an example one may consider
the Gelfand–Ponomarev algebra G2, 3 given by generators α, β and relations αβ= βα= α2 …

We study modules of certain string algebras, which are referred to as of affine type C˜. We
introduce minimal string modules and apply them to explicitly describe components of the …

We calculate the Krull–Gabriel dimension of the category of modules over any domestic
string algebra, in particular showing that it is finite, thus confirming a conjecture of Schröer …

Superdecomposable Pure-Injective Modules Exist over Some String Algebras Page 1
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 132, Number 7 …

We show that string algebras are 'homologically tame'in the following sense: First, the
syzygies of arbitrary representations of a finite dimensional string algebra Λ are direct sums …

How to construct a ‘concrete’ superdecomposable pure-injective module over a string algebra
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We introduce the concept of a prime band in a string algebra Λ and use it to associate to Λ
its finite bridge quiver. Then we introduce a new technique of 'recursive systems' for showing …