Geodesic
On the maximal spectrum of commutative semiprimitive rings
Colloquium Mathematicum, Tome 83 (2000) no. 1, pp. 5-13 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The space of maximal ideals is studied on semiprimitive rings and reduced rings, and the relation between topological properties of Max(R) and algebric properties of the ring R are investigated. The socle of semiprimitive rings is characterized homologically, and it is shown that the socle is a direct sum of its localizations with respect to isolated maximal ideals. We observe that the Goldie dimension of a semiprimitive ring R is equal to the Suslin number of Max(R).
DOI : 10.4064/cm-83-1-5-13

K. Samei 1

1 
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K. Samei. On the maximal spectrum of commutative semiprimitive rings. Colloquium Mathematicum, Tome 83 (2000) no. 1, pp. 5-13. doi: 10.4064/cm-83-1-5-13

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