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Tilting complexes associated with a sequence of idempotents

✍ Scribed by Mitsuo Hoshino; Yoshiaki Kato

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
248 KB
Volume
183
Category
Article
ISSN
0022-4049

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✦ Synopsis

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 tilting complex for Bi of term length two deΓΏned by an idempotent. Next, in the case of A being a ΓΏnite dimensional algebra over a ΓΏeld, we provide a construction of a two-sided tilting complex corresponding to P β€’ . Simultaneously, we provide a su cient condition for an algebra B containing A as a subalgebra to be derived equivalent to A.

πŸ“œ SIMILAR VOLUMES

Tilting Modules Associated with a Series
Tilting Modules Associated with a Series of Idempotent Ideals
✍ Yoichi Miyashita πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 122 KB

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

Rational functions associated with doubl
Rational functions associated with double infinite sequences of complex numbers
✍ M. Camacho; P. GonzΓ‘lez-Vera πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 690 KB

Let {pk}+\_~ be a given double infinite sequence of complex numbers. By defining a linear functional on the space of the Laurent polynomials, certain rational functions are first constructed and some algebraic properties studied. The hermitian case, i.e. P-k = ilk, k E Z is separately considered an