Publication
Title
PBW deformations of Koszul algebras over a nonsemisimple ring
Author
Abstract
Let be a generalized Koszul algebra over a finite dimensional algebra . We construct a bimodule Koszul resolution of when the projective dimension of equals two. Using this we prove a Poincar,-Birkhoff-Witt (PBW) type theorem for a deformation of a generalized Koszul algebra. When the projective dimension of is greater than two, we construct bimodule Koszul resolutions for generalized smash product algebras obtained from braidings between finite dimensional algebras and Koszul algebras, and then prove the PBW type theorem. The results obtained can be applied to standard Koszul Artin-Schelter Gorenstein algebras in the sense of Minamoto and Mori (Adv Math 226:4061-4095, 2011).
Language
English
Source (journal)
Mathematische Zeitschrift. - Berlin
Publication
Berlin : 2015
ISSN
0025-5874
Volume/pages
279:1-2(2015), p. 185-210
ISI
000347831200008
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 13.03.2015
Last edited 07.09.2017
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