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http://hdl.handle.net/11320/3622
Pełny rekord metadanych
Pole DC | Wartość | Język |
---|---|---|
dc.contributor.author | Bancerek, Grzegorz | - |
dc.contributor.author | Kobayashi, Hidetsune | - |
dc.contributor.author | Korniłowicz, Artur | - |
dc.date.accessioned | 2015-12-06T19:05:18Z | - |
dc.date.available | 2015-12-06T19:05:18Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Formalized Mathematics, Volume 20, Issue 1, 2012, Pages 7-14 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.issn | 1898-9934 | - |
dc.identifier.uri | http://hdl.handle.net/11320/3622 | - |
dc.description.abstract | In the article we introduce a valuation function over a field [1]. Ring of non negative elements and its ideal of positive elements have been also defined. | - |
dc.language.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.title | Valuation Theory. Part I | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/v10037-012-0002-4 | - |
dc.description.Affiliation | Bancerek Grzegorz - Białystok Technical University, Poland | - |
dc.description.Affiliation | Kobayashi Hidetsune - Department of Mathematics College of Science and Technology, Nihon University, 8 Kanda Surugadai Chiyoda-ku, 101-8308 Tokyo, Japan | - |
dc.description.Affiliation | Korniłowicz Artur - Institute of Informatics, University of Białystok, Sosnowa 64, 15-887 Białystok, Poland | - |
dc.description.references | Emil Artin. Algebraic Numbers and Algebraic Functions. Gordon and Breach Science Publishers, 1994. | - |
dc.description.references | Jonathan Backer, Piotr Rudnicki, and Christoph Schwarzweller. Ring ideals. Formalized Mathematics, 9(3):565-582, 2001. | - |
dc.description.references | Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. | - |
dc.description.references | Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990. | - |
dc.description.references | Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990. | - |
dc.description.references | Józef Białas. Properties of fields. Formalized Mathematics, 1(5):807-812, 1990. | - |
dc.description.references | Czesław Byliński. Binary operations. Formalized Mathematics, 1(1):175-180, 1990. | - |
dc.description.references | Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990. | - |
dc.description.references | Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990. | - |
dc.description.references | Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990. | - |
dc.description.references | Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990. | - |
dc.description.references | Artur Korniłowicz. Quotient rings. Formalized Mathematics, 13(4):573-576, 2005. | - |
dc.description.references | Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990. | - |
dc.description.references | Michał Muzalewski. Construction of rings and left-, right-, and bi-modules over a ring. Formalized Mathematics, 2(1):3-11, 1991. | - |
dc.description.references | Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990. | - |
dc.description.references | Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990. | - |
dc.description.references | Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990. | - |
dc.description.references | Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990. | - |
dc.description.references | Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. | - |
dc.description.references | Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990. | - |
dc.description.references | Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990. | - |
Występuje w kolekcji(ach): | Artykuły naukowe (WInf) Formalized Mathematics, 2012, Volume 20, Issue 1 |
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v10037-012-0002-4.pdf | 278,07 kB | Adobe PDF | Otwórz |
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