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.
Keywords:
describe structure finite dimensional algebras domestic representation type algebraically closed field whose auslander reiten quiver consists generalized standard semiregular components moreover prove class algebras contains special biserial algebras whose auslander reiten quiver consists semiregular components
Affiliations des auteurs :
Alicja Jaworska-Pastuszak
1
;
Andrzej Skowroński
1
1
Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
Alicja Jaworska-Pastuszak; Andrzej Skowroński. On domestic algebras of semiregular type. Colloquium Mathematicum, Tome 132 (2013) no. 2, pp. 271-294. doi: 10.4064/cm132-2-7
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