Tilting modules and a theorem of Hoshino
1993 ◽
Vol 35
(1)
◽
pp. 69-77
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Keyword(s):
Let k be an algebraically closed field, and A a finite dimensional k-algebra, which we shall assume, without loss of generality, to be basic and connected. By module is meant throughout a finitely generated right A-module. Following Happel and Ringel [10], we shall say that a module Tλ is a tilting (respectively, cotilting) module if it satisfies the following three conditions:(1)(2)(3) the number of non-isomorphic indecomposable summands of T equals the rank of the Grothendieck group K0(A) of A.
1994 ◽
Vol 37
(1)
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pp. 143-160
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1987 ◽
Vol 30
(2)
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pp. 177-181
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Keyword(s):
2013 ◽
Vol 89
(2)
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pp. 234-242
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1968 ◽
Vol 9
(2)
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pp. 146-151
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1980 ◽
Vol 32
(1)
◽
pp. 210-218
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2004 ◽
Vol 77
(1)
◽
pp. 123-128
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Keyword(s):
2010 ◽
Vol 09
(01)
◽
pp. 11-15
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Keyword(s):