Two sided Projective Resolutions Periodicity and Local Algebras is popular PDF and ePub book, written by Stefanie Küpper in 2010, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Two sided Projective Resolutions Periodicity and Local Algebras can be Read Online from any device for your convenience.
Two sided Projective Resolutions Periodicity and Local Algebras Book PDF Summary
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 A_{locto any finite dimensional algebra A. We try to derive information on the cohomology of A from the associated local algebra A_{loc, 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 A_{loc. 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 A_{mon, there are inequalities of the following kind: If the resolution of the monomial algebra A_{monis locally finite, then the resolution of A is locally finite. If the resolution of A_{monis locally periodic, then the resolution of A is either locally finite or locally almost periodic.
Detail Book of Two sided Projective Resolutions Periodicity and Local Algebras PDF
- Author : Stefanie Küpper
- Release : 02 July 2024
- Publisher : Logos Verlag Berlin GmbH
- ISBN : 9783832527242
- Genre : Mathematics
- Total Page : 79 pages
- Language : English
- PDF File Size : 20,9 Mb
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