The factor set of Gr-categories of the type (,A)

Abstract

Any -graded categorical group is determined by a factor set of a categorical group. This paper studies the factor set of the group with coefficients in the categorical group of the type (,A). Then, an interpretation of the notion of -operator 3-cocycle is presented and the proof of cohomological classification theorem for the a -graded Gr-category is also presented.

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