On components of the Auslander-Reiten quiver of trivial extensions of 2-fundamental algebras which contain projective modules

• Autorzy: Jaworska Alicja
• Języki publikacji: EN

Abstrakty

EN

Trivial extensions of a certain subclass of minimal 2-fundamental algebras are examined. For such algebras the characterization of components of the Auslander-Reiten quiver which contain indecomposable projective modules is given.

Słowa kluczowe

EN

Trivial extension; Minimal 2-fundamental algebra; Auslander-Reiten quiver; Generalized standard components

Kategorie tematyczne

• 16G20: Representations of quivers and partially ordered sets
• 16G70: Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2007
• Tom: 5
• Numer: 4
• Strony: 665-685

Daty

wydano

2007-12-01

online

2007-12-01

Twórcy

autor

Jaworska Alicja

• Nicholaus Copernicus University

Bibliografia

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• [3] M.C.R. Butler and C.M. Ringel: “Auslander-Reiten sequences with few middle terms and applications to string algebras”, Comm. Algebra, Vol. 15, (1987), no. 1–2, pp. 145–179. http://dx.doi.org/10.1080/00927878708823416
• [4] P. Gabriel: “Auslander-Reiten sequences and representation-finite algebras”, Representation theory I, Proc. Workshop, Carleton Univ., Ottawa, Ont., (1979), pp. 1–71, Lecture Notes in Math., 831, Springer, Berlin, 1980.
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• [6] A. Jaworska and Z. Pogorzały: “On trivial extensions of 2-fundamental algebras”, Comm. Algebra, Vol. 34, (2006), no. 11, pp. 3935–3947. http://dx.doi.org/10.1080/00927870600862748
• [7] Z. Pogorzały and M. Sufranek: “Starting and ending components of the Auslander-Reiten quivers of a class of special biserial algebras”, Colloq. Math., Vol. 99, (2004), no. 1, pp. 111–144.
• [8] A. Skowroński: “Generalized standard Auslander-Reiten components”, J. Math. Soc. Japan, Vol. 46, (1994), no. 3, pp. 517–543. http://dx.doi.org/10.2969/jmsj/04630517
• [9] A. Skowroński: Algebras of polynomial growth, Topics in algebra, Part 1 (Warsaw, 1988), pp. 535–568, Banach Center Publ., 26, Part 1, PWN, Warsaw, 1990.
• [10] A. Skowroński and J. Waschbüsch: “Representation-finite biserial algebras”, J. Reine Angew. Math., Vol. 345, (1983), pp. 172–181.

Identyfikatory

DOI

10.2478/s11533-007-0033-1