Title of article
Graded Extensions of Monoidal Categories
Author/Authors
A. M. Cegarra، نويسنده , , A. R. Garz?n، نويسنده , , J. A. Ortega، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
38
From page
620
To page
657
Abstract
The long-known results of Schreier–Eilenberg–Mac Lane on group extensions are raised to a categorical level, for the classification and construction of the manifold of all graded monoidal categories, the type being given group Γ with 1-component a given monoidal category. Explicit application is made to the classification of strongly graded bialgebras over commutative rings.
Keywords
Coalgebra , theory of obstructions , strongly graded ring , Graded category , monoidal category , group cohomology , nonabelian cohomology , factor set , crossed product
Journal title
Journal of Algebra
Serial Year
2001
Journal title
Journal of Algebra
Record number
695518
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