Finite and infinite collections of multiplication modules.
Ali, Majid M., Smith, David J. (2001)
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Ali, Majid M., Smith, David J. (2001)
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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).
Jarnicki, Witold, O'Carroll, Liam, Winiarski, Tadeusz (2001)
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Ali, Majid M. (2006)
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Ali, Majid M. (2005)
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Ali, Majid M., Smith, David J. (2004)
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Ali, Majid M. (2007)
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