The minimal representation-infinite algebras which are special biserial
Ringel CM (2011)
In: Representations of algebras and related topics. Proceedings of the 14th international conference on representations of algebras and workshop (ICRA XIV), Tokyo, Japan, August 6-15, 2010. Skowroński A, Yamagata K (Eds); EMS Series of Congress Reports. Zürich: European Mathematical Society Publishing House: 501-560.
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Autor*in
Herausgeber*in
Skowroński, Andrzej;
Yamagata, Kunio
Einrichtung
Abstract / Bemerkung
Let k be a field. A finite dimensional k-algebra is said to be minimal representation-infinite provided it is representation-infinite and all its proper factor algebras are representation-finite. Our aim is to classify the special biserial algebras which are minimal representation-infinite. The second part describes the corresponding module categories.
Stichworte
Minimal representation-infinite algebras;
special biserial algebras;
quiver;
Auslander–Reiten quiver;
Auslander–Reiten quilt;
sectional paths;
irreducible maps;
Gorenstein algebras;
semigroup algebras
Erscheinungsjahr
2011
Titel des Konferenzbandes
Representations of algebras and related topics. Proceedings of the 14th international conference on representations of algebras and workshop (ICRA XIV), Tokyo, Japan, August 6-15, 2010
Serien- oder Zeitschriftentitel
EMS Series of Congress Reports
Seite(n)
501-560
Konferenz
14th international conference on representations of algebras and workshop (ICRA XIV)
Konferenzort
Tokyo, Japan
Konferenzdatum
2010-08-06 – 2010-08-15
ISBN
978-3-03719-101-9
Page URI
https://pub.uni-bielefeld.de/record/2940863
Zitieren
Ringel CM. The minimal representation-infinite algebras which are special biserial. In: Skowroński A, Yamagata K, eds. Representations of algebras and related topics. Proceedings of the 14th international conference on representations of algebras and workshop (ICRA XIV), Tokyo, Japan, August 6-15, 2010. EMS Series of Congress Reports. Zürich: European Mathematical Society Publishing House; 2011: 501-560.
Ringel, C. M. (2011). The minimal representation-infinite algebras which are special biserial. In A. Skowroński & K. Yamagata (Eds.), EMS Series of Congress Reports. Representations of algebras and related topics. Proceedings of the 14th international conference on representations of algebras and workshop (ICRA XIV), Tokyo, Japan, August 6-15, 2010 (pp. 501-560). Zürich: European Mathematical Society Publishing House. doi:10.4171/101-1/11
Ringel, Claus Michael. 2011. “The minimal representation-infinite algebras which are special biserial”. In Representations of algebras and related topics. Proceedings of the 14th international conference on representations of algebras and workshop (ICRA XIV), Tokyo, Japan, August 6-15, 2010, ed. Andrzej Skowroński and Kunio Yamagata, 501-560. EMS Series of Congress Reports. Zürich: European Mathematical Society Publishing House.
Ringel, C. M. (2011). “The minimal representation-infinite algebras which are special biserial” in Representations of algebras and related topics. Proceedings of the 14th international conference on representations of algebras and workshop (ICRA XIV), Tokyo, Japan, August 6-15, 2010, Skowroński, A., and Yamagata, K. eds. EMS Series of Congress Reports (Zürich: European Mathematical Society Publishing House), 501-560.
Ringel, C.M., 2011. The minimal representation-infinite algebras which are special biserial. In A. Skowroński & K. Yamagata, eds. Representations of algebras and related topics. Proceedings of the 14th international conference on representations of algebras and workshop (ICRA XIV), Tokyo, Japan, August 6-15, 2010. EMS Series of Congress Reports. Zürich: European Mathematical Society Publishing House, pp. 501-560.
C.M. Ringel, “The minimal representation-infinite algebras which are special biserial”, Representations of algebras and related topics. Proceedings of the 14th international conference on representations of algebras and workshop (ICRA XIV), Tokyo, Japan, August 6-15, 2010, A. Skowroński and K. Yamagata, eds., EMS Series of Congress Reports, Zürich: European Mathematical Society Publishing House, 2011, pp.501-560.
Ringel, C.M.: The minimal representation-infinite algebras which are special biserial. In: Skowroński, A. and Yamagata, K. (eds.) Representations of algebras and related topics. Proceedings of the 14th international conference on representations of algebras and workshop (ICRA XIV), Tokyo, Japan, August 6-15, 2010. EMS Series of Congress Reports. p. 501-560. European Mathematical Society Publishing House, Zürich (2011).
Ringel, Claus Michael. “The minimal representation-infinite algebras which are special biserial”. Representations of algebras and related topics. Proceedings of the 14th international conference on representations of algebras and workshop (ICRA XIV), Tokyo, Japan, August 6-15, 2010. Ed. Andrzej Skowroński and Kunio Yamagata. Zürich: European Mathematical Society Publishing House, 2011. EMS Series of Congress Reports. 501-560.
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