On the computation of minimal reduction.
Bod'a, E., Šuňal, I. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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Bod'a, E., Šuňal, I. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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Kar, S. (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Kulosman, H. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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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,...
Bod'a, E., Jašková, D. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Ali, Majid M. (2006)
Beiträge zur Algebra und Geometrie
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Ali Akbar Estaji (2008)
Archivum Mathematicum
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Let be the ring of real continuous functions on a completely regular Hausdorff space. In this paper an almost discrete space is determined by the algebraic structure of . The intersection of essential weak ideal in is also studied.
Dumnicki, Marcin (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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