Tauvel's height formula in iterated differential operator rings.
Guédénon, Thomas (2004)
Beiträge zur Algebra und Geometrie
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Guédénon, Thomas (2004)
Beiträge zur Algebra und Geometrie
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Ferrero, Miguel, Steffenon, Rogério Ricardo (2004)
Beiträge zur Algebra und Geometrie
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Chaopraknoi, Sureeporn, Savettaseranee, Knograt, Lertwichitsilp, Patcharee (2005)
General Mathematics
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Denis Simon (2008)
Journal de Théorie des Nombres de Bordeaux
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In this paper, we study equations of the form , where is a binary form, homogeneous of degree , which is supposed to be primitive and irreducible, and is any fixed integer. Using classical tools in algebraic number theory, we prove that the existence of a proper solution for this equation implies the existence of an integral ideal of given norm in some order in a number field, and also the existence of a specific relation in the class group involving this ideal. In some cases,...
Debremaeker, R., van Lierde, V. (2006)
Beiträge zur Algebra und Geometrie
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Kar, S. (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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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).
Chandan Singh Dalawat (2009)
Journal de Théorie des Nombres de Bordeaux
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We show how K. Hensel could have extended Wilson’s theorem from to the ring of integers in a number field, to find the product of all invertible elements of a finite quotient of .
Bhat, V.K. (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Kulosman, H. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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