Two-sided projective resolutions, periodicity and local algebras

Stefanie Küpper

ISBN 978-3-8325-2724-2
75 pages, year of publication: 2010
price: 32.00 €
This book introduces a new point of view on two-sided projective resolutions of associative algebras. By gluing the vertices we associate a local algebra Aloc to any finite dimensional algebra A. We try to derive information on the cohomology of A from the associated local algebra Aloc, that is from the local equivalence class of A. For instance, the Anick-Green resolution is minimal for A if and only if it is so for Aloc. We can read off the relations of A whether there is a locally equivalent algebra that has a finite or a periodic bimodule resolution over itself.

Comparing an algebra A and an associated monomial algebra Amon, there are inequalities of the following kind: If the resolution of the monomial algebra Amon is locally finite, then the resolution of A is locally finite. If the resolution of Amon is locally periodic, then the resolution of A is either locally finite or locally almost periodic.

cover cover cover cover cover cover cover cover cover
  • Darstellungstheorie / Representationtheory
  • Hochschild Cohomologie / Hochschild cohomology
  • Homologische Algebra / Homological algebra
  • projektive Auflösungen / projective resolutions
  • Lokale Algebren / local algebras


32.00 €
in stock

32.00 €
42.00 €
46.00 €

(D) = Within Germany
(W) = Abroad

*You can purchase the eBook (PDF) alone or combined with the printed book (eBundle). In both cases we use the payment service of PayPal for charging you - nevertheless it is not necessary to have a PayPal-account. With purchasing the eBook or eBundle you accept our licence for eBooks.

For multi-user or campus licences (MyLibrary) please fill in the form or write an email to