String algebras over local rings: admissibility and biseriality

R Bennett-Tennenhaus - arXiv preprint arXiv:2305.12885, 2023 - arxiv.org
For a path algebra over a (noetherian) local ground ring the notion of an admissible ideal
was defined by Raggi-C\'ardenas and Salmer\'on. We provide sufficient conditions for …

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
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String algebras over local rings: regular examples

R Bennett-Tennenhaus - arXiv preprint arXiv:2405.02702, 2024 - arxiv.org
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 …

[HTML][HTML] Σ-pure-injective modules for string algebras and linear relations

R Bennett-Tennenhaus, W Crawley-Boevey - Journal of Algebra, 2018 - Elsevier
Σ-pure-injective modules for string algebras and linear relations - ScienceDirect Skip to main
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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 …

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 …

[PDF][PDF] Superdecomposable pure-injective modules exist over some string algebras

G Puninski - Proceedings of the American Mathematical …, 2004 - community.ams.org
SUPERDECOMPOSABLE PURE-INJECTIVE MODULES EXIST OVER SOME STRING
ALGEBRAS 1. Introduction There is a well-known dichotomy for the Page 1 PROCEEDINGS …

[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 …

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 …

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 …