Some cancellation ideal rings.
Chaopraknoi, Sureeporn, Savettaseranee, Knograt, Lertwichitsilp, Patcharee (2005)
General Mathematics
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Chaopraknoi, Sureeporn, Savettaseranee, Knograt, Lertwichitsilp, Patcharee (2005)
General Mathematics
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Kulosman, H. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Chenglong Wu, Yuzhong Ding (2008)
Formalized Mathematics
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In this article three classes of ideals are discussed: associative ideals, commutative ideals, implicative ideals and positive implicative ideals, and their elementary properties. Some of their properties and the relationships between them have not been proven yet, and will be completed in the following article.MML identifier: BCIIDEAL, version: 7.8.10 4.99.1005
Gupta, Vishnu, Chaudhari, J.N. (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Nowak, Krzysztof Jan (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Kandić, Marko (2011)
Annals of Functional Analysis (AFA) [electronic only]
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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.
Ali, Majid M. (2006)
Beiträge zur Algebra und Geometrie
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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,...