Forbidden Subcategories of Non-Polynomial Growth Tame Simply Connected Algebras
1996 ◽
Vol 48
(5)
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pp. 1018-1043
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Keyword(s):
AbstractLet k be an algebraically closed field and A = kQ/I be a basic finite dimensional k-algebra such that Q is a connected quiver without oriented cycles. Assume that A is strongly simply connected, that is, for every convex subcategory B of A the first Hochschild cohomology H1(B, B) vanishes. The algebra A is sincere if it admits an indecomposable module having all simples as composition factors. We study the structure of strongly simply connected sincere algebras of tame representation type. We show that a sincere, tame, strongly connected algebra A which contains a convex subcategory which is either representation-infinite tilted of type Ẽp, p = 6,7,8, or a tubular algebra, is of polynomial growth.
2013 ◽
Vol 89
(2)
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pp. 234-242
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Keyword(s):
2016 ◽
Vol 19
(1)
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pp. 235-258
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2004 ◽
Vol 77
(1)
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pp. 123-128
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Keyword(s):
1997 ◽
Vol 39
(1)
◽
pp. 21-27
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2010 ◽
Vol 09
(01)
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pp. 11-15
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Keyword(s):