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 …

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 …

Σ-pure-injective modules for string algebras and linear relations - ScienceDirect Skip to main
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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 …

String algebras, in the usual sense, are finite-dimensional algebras over a given ground
field. We recall a generalisation of the definition of a string algebra, which was introduced in …

Ringel’s conjecture for domestic string algebras | SpringerLink Skip to main content
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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 …

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 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 …

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 …