[图书][B] On generic modules for string algebras

CM Ringel - 1999 - math.uni-bielefeld.de
We consider a string algebra A. In case A is domestic, and G, G′ are non-isomorphic
generic modules, then G′ neither generates nor cogenerates G. On the other hand, in case …

Ringel's conjecture for domestic string algebras

G Puninski, M Prest - Mathematische Zeitschrift, 2016 - Springer
Ringel’s conjecture for domestic string algebras | SpringerLink Skip to main content
Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home …

Superdecomposable pure-injective modules exist over some string algebras

G Puninski - Proceedings of the American Mathematical Society, 2004 - JSTOR
Superdecomposable Pure-Injective Modules Exist over Some String Algebras Page 1
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 132, Number 7 …

Pure Injective Indecomposable Modules over 1-Domestic String Algebras.

G Puninski - Algebras & Representation Theory, 2014 - search.ebscohost.com
Pure Injective Indecomposable Modules over 1-Domestic String Algebras Page 1 Algebr
Represent Theor (2014) 17:643–673 DOI 10.1007/s10468-013-9413-3 Pure Injective …

On the stable radical of some non-domestic string algebras

E Gupta, A Kuber, S Sardar - Algebras and Representation Theory, 2022 - Springer
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 …

Classification of modules for infinite-dimensional string algebras

W Crawley-Boevey - arXiv preprint arXiv:1308.6410, 2013 - arxiv.org
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 …

Classification of modules for infinite-dimensional string algebras

W Crawley-Boevey - Transactions of the American Mathematical Society, 2018 - ams.org
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 …

The radical of a module category of string algebra

C Chaio, V Guazzelli - Communications in Algebra, 2017 - Taylor & Francis
We study how to read from the ordinary quiver of a representation-finite string algebra, the
minimal lower bound m≥ 1 such that the m th power of the radical of its module category …

The homology of string algebras I

B Huisgen-Zimmermann, SO Smalø - 2005 - degruyter.com
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 …

Components of AR-quivers for string algebras of type C˜ and a conjecture by Geiss-Leclerc-Schröer

H Huang, Z Lin, X Su - Journal of Algebra, 2023 - Elsevier
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 …