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On a simplical complex associated with tilting modules

✍ Scribed by Christine Riedtmann; Aidan Schofield


Book ID
110558092
Publisher
European Mathematical Society
Year
1991
Tongue
English
Weight
337 KB
Volume
66
Category
Article
ISSN
0010-2571

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For a suitable series of idempotent ideals, a method of constructing tilting modules of finite projective dimension is given.

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First, we show that a certain sequence of idempotents e0; e1; : : : ; e l in a ring A deΓΏnes a tilting complex P β€’ for A of term length l + 1 and that there exists a sequence of rings B0 = A; B1; : : : ; B l = End K(Mod-A) (P β€’ ) such that for any 0 6 i Β‘ l, Bi+1 is the endomorphism ring of a tiltin