Structure of Ann-Categories
Abstract
This paper presents the structure conversion by which from an Ann-category , we can obtain its reduced Ann-category of the type (R,M) whose structure is a family of five functions k=(,η,α,λ,). Then we will show that each Ann-category is determined by three invariants: 1. The ring 0() of the isomorphic classes of objects of , 2. 0()-bimodule 1() = (0), 3. The element k∈ H3M(0(), 1()) (the ring cohomology due to MacLane).
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