On the maximal spectrum of commutative semiprimitive rings
Colloquium Mathematicum, Tome 83 (2000) no. 1, pp. 5-13
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).
@article{10_4064_cm_83_1_5_13,
author = {K. Samei},
title = {On the maximal spectrum of commutative semiprimitive rings},
journal = {Colloquium Mathematicum},
pages = {5--13},
year = {2000},
volume = {83},
number = {1},
doi = {10.4064/cm-83-1-5-13},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-83-1-5-13/}
}
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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