Prime spectra of additive categories .1.

[摘要] 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 is an element of 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). (C) 1997 Elsevier Science B.V.

[发布日期] 1997-10-24