On domestic algebras of semiregular type

Alicja Jaworska-Pastuszak; Andrzej Skowroński

Colloquium Mathematicae (2013)

  • Volume: 132, Issue: 2, page 271-294
  • ISSN: 0010-1354

Abstract

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We describe the structure of finite-dimensional algebras of domestic representation type over an algebraically closed field whose Auslander-Reiten quiver consists of generalized standard and semiregular components. Moreover, we prove that this class of algebras contains all special biserial algebras whose Auslander-Reiten quiver consists of semiregular components.

How to cite

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Alicja Jaworska-Pastuszak, and Andrzej Skowroński. "On domestic algebras of semiregular type." Colloquium Mathematicae 132.2 (2013): 271-294. <http://eudml.org/doc/283545>.

@article{AlicjaJaworska2013,
abstract = {We describe the structure of finite-dimensional algebras of domestic representation type over an algebraically closed field whose Auslander-Reiten quiver consists of generalized standard and semiregular components. Moreover, we prove that this class of algebras contains all special biserial algebras whose Auslander-Reiten quiver consists of semiregular components.},
author = {Alicja Jaworska-Pastuszak, Andrzej Skowroński},
journal = {Colloquium Mathematicae},
keywords = {semiregular components; special biserial algebras; quasitilted algebras; tame algebras; domestic algebras; domestic representation type; Auslander-Reiten quivers},
language = {eng},
number = {2},
pages = {271-294},
title = {On domestic algebras of semiregular type},
url = {http://eudml.org/doc/283545},
volume = {132},
year = {2013},
}

TY - JOUR
AU - Alicja Jaworska-Pastuszak
AU - Andrzej Skowroński
TI - On domestic algebras of semiregular type
JO - Colloquium Mathematicae
PY - 2013
VL - 132
IS - 2
SP - 271
EP - 294
AB - We describe the structure of finite-dimensional algebras of domestic representation type over an algebraically closed field whose Auslander-Reiten quiver consists of generalized standard and semiregular components. Moreover, we prove that this class of algebras contains all special biserial algebras whose Auslander-Reiten quiver consists of semiregular components.
LA - eng
KW - semiregular components; special biserial algebras; quasitilted algebras; tame algebras; domestic algebras; domestic representation type; Auslander-Reiten quivers
UR - http://eudml.org/doc/283545
ER -

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