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NOTE ON DECOMPOSITION SETS OF SEMI-PRIME RINGS

NOTE ON DECOMPOSITION SETS OF SEMI-PRIME RINGS

Introduction.As has been observed by Jacobson the set $\mathfrak{V}=\mathfrak{P}(A)$ of all primitive ideals of a ring $A$ may be made into a topological space endowed with Stone's topology, and recently, concerning topological pro- perties of the structure space, Suli\'{n}ski [8] obtained some structure theo- rems of a semi-simple ring which …