On the maximal spectrum of commutative semiprimitive rings

• Autorzy: K. Samei
• Języki publikacji: EN

Abstrakty

EN

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).

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 83
• Numer: 1
• Strony: 5-13

Daty

wydano

2000

otrzymano

1999-01-15

poprawiono

1999-07-19

Twórcy

autor

K. Samei

• Department of Mathematics, University of Bu-Ali Sina, Hamadan, Iran

Bibliografia

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