Graded extensions of manoidal categories

Authors
Cegarra, AM Garzon, AR Ortega, JA
Citation
Am. Cegarra et al., Graded extensions of manoidal categories, J ALGEBRA, 241(2), 2001, pp. 620-657
Citations number
19
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
241
Issue
2
Year of publication
2001
Pages
620 - 657
Database
ISI
SICI code
0021-8693(20010715)241:2<620:GEOMC>2.0.ZU;2-H
Abstract
The long-known results of Schreier-Eilenberg-Mac Lane on group extensions a re raised to a categorical level, for the classification and construction o f the manifold of all graded monoidal categories, the type being given grou p Gamma with I-component a given monoidal category. Explicit application is made to the classification of strongly graded bialgebras over commutative rings, (C) 2001 Academic Press.