Each Ann-category A is equivalent to an Ann-category of the type (R, M), where M is an R-bimodule. The family of constraints of A induces a structure on (R, M). The main result of the paper is: 1. There exists a bijection between the set of structures on (R, M) and the group of Mac Lane 3-cocycles Z 3 MaL(R,M). 2. There exists a bijection between C(R, M) of congruence classes of Ann-categories whose pre-stick is of the type (R,M) and the Mac Lane cohomology group H 3 MaL(R, M). 2000 Mathematics Subject Classification:18D10,16E4
To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.