Generalized GCD rings II.
Ali, Majid M., Smith, David J. (2003)
Beiträge zur Algebra und Geometrie
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Ali, Majid M., Smith, David J. (2003)
Beiträge zur Algebra und Geometrie
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Chaopraknoi, Sureeporn, Savettaseranee, Knograt, Lertwichitsilp, Patcharee (2005)
General Mathematics
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Ali, Majid M. (2005)
Beiträge zur Algebra und Geometrie
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Kulosman, H. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Rossi, Maria Evelina, Valla, Giuseppe (2001)
Beiträge zur Algebra und Geometrie
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Boulagouaz, M., Oukhtite, L. (2001)
Beiträge zur Algebra und Geometrie
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K. Samei (2000)
Colloquium Mathematicae
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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).
Peyman Nasehpour (2010)
Archivum Mathematicum
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In this article, we prove that in content extentions minimal primes extend to minimal primes and discuss zero-divisors of a content algebra over a ring who has Property (A) or whose set of zero-divisors is a finite union of prime ideals. We also examine the preservation of diameter of zero-divisor graph under content extensions.
Debremaeker, R., van Lierde, V. (2006)
Beiträge zur Algebra und Geometrie
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