In this paper, by introducing appropriate notions of multiplication of ideals (resp. sieves) of an additive category C, we associate to the category a topological space Spec(C) consisting of all globally prime ideals. We can also associate to each object C ∈ C a space Spec(C) consisting of all prime 2-sided sieves at C in such a way that each local spectrum Spec(C) is a retract of the global spectrum Spec(C).
|Number of pages||23|
|Journal||Journal of Pure and Applied Algebra|
|Publication status||Published - 24 Oct 1997|