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The decomposition of idempotents associated with inflators

✍ Scribed by Jeffrey L. Stuart


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
781 KB
Volume
97
Category
Article
ISSN
0024-3795

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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

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