On the maximal spectrum of commutative semiprimitive rings
Samei, K.
Colloquium Mathematicae, Tome 84/85 (2000), p. 5-13 / Harvested from The Polish Digital Mathematics Library
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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).

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:210774 
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     year = {2000},
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Samei, K. On the maximal spectrum of commutative semiprimitive rings. Colloquium Mathematicae, Tome 84/85 (2000) pp. 5-13. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv83i1p5bwm/

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