Indefinite affine hyperspheres admitting a pointwise symmetry. II.
Scharlach, Christine (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Scharlach, Christine (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Felaco, Elisabetta, Giuli, Eraldo (2008)
Theory and Applications of Categories [electronic only]
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Karol Pąk (2010)
Formalized Mathematics
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In this article we describe the notion of affinely independent subset of a real linear space. First we prove selected theorems concerning operations on linear combinations. Then we introduce affine independence and prove the equivalence of various definitions of this notion. We also introduce the notion of the affine hull, i.e. a subset generated by a set of vectors which is an intersection of all affine sets including the given set. Finally, we introduce and prove selected properties...
Krzysztof Nowak (1998)
Colloquium Mathematicae
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We present a formula for the intersection multiplicity of the images of two subvarieties under an etale morphism between smooth varieties over a field k. It is a generalization of Fulton's Example 8.2.5 from [3], where a strong additional assumption has been imposed. In a special case where the base field k is algebraically closed and a proper component of the intersection is a closed point, intersection multiplicity is an invariant of etale morphisms. This corresponds with analytic...
Scharlach, Christine (2007)
Beiträge zur Algebra und Geometrie
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Lam, Thomas, Shimozono, Mark (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
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Solčan, Š. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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Bakalarski, Sławomir (2006)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Ljubiša Kocić, Marija Rafajlović (2010)
Kragujevac Journal of Mathematics
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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).
Nadjafikhah, Mehdi, Madhipour Sh., Ali (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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Hà Huy Vui, Pham Tien Son (1999)
Annales Polonici Mathematici
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We determine bifurcation sets of families of affine curves and study the topology of such families.