Algebraically compact modules arising from tubular families: A survey

Ringel CM (2004)
Algebra Colloquium 11(1): 155-172.

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Abstract / Bemerkung
Algebraically compact modules play an important role in representation theory. They have been introduced both by logicians and by algebraists as the basic class of representations of any ring. We will concentrate on algebraically compact modules which are related to tubes in the Auslander-Reiten quiver of an artin algebra. We are going to survey part of the present knowledge and typical examples. The decomposition results are similar to those known for algebraically compact abelian groups, whereas some of the embedding properties of the relevant categories provide completely different features.
Stichworte
algebraically compact modules; reduced and divisible; modules; adic modules; tubular; algebras; tubular families; basic submodules and completions
Erscheinungsjahr
2004
Band
11
Ausgabe
1
Seite(n)
155-172
ISSN
1005-3867
eISSN
0219-1733
Page URI
https://pub.uni-bielefeld.de/record/1608572

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Ringel CM. Algebraically compact modules arising from tubular families: A survey. Algebra Colloquium. 2004;11(1):155-172.
Ringel, C. M. (2004). Algebraically compact modules arising from tubular families: A survey. Algebra Colloquium, 11(1), 155-172.
Ringel, C. M. (2004). Algebraically compact modules arising from tubular families: A survey. Algebra Colloquium 11, 155-172.
Ringel, C.M., 2004. Algebraically compact modules arising from tubular families: A survey. Algebra Colloquium, 11(1), p 155-172.
C.M. Ringel, “Algebraically compact modules arising from tubular families: A survey”, Algebra Colloquium, vol. 11, 2004, pp. 155-172.
Ringel, C.M.: Algebraically compact modules arising from tubular families: A survey. Algebra Colloquium. 11, 155-172 (2004).
Ringel, Claus Michael. “Algebraically compact modules arising from tubular families: A survey”. Algebra Colloquium 11.1 (2004): 155-172.

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