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. © 2001 Academic Press.
CITATION STYLE
Cegarra, A. M., Garzón, A. R., & Ortega, J. A. (2001). Graded extensions of monoidal categories. Journal of Algebra, 241(2), 620–657. https://doi.org/10.1006/jabr.2001.8769
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