REPOZYTORIUM UNIWERSYTETU
W BIAŁYMSTOKU
UwB

Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/3622
Pełny rekord metadanych
Pole DCWartośćJęzyk
dc.contributor.authorBancerek, Grzegorz-
dc.contributor.authorKobayashi, Hidetsune-
dc.contributor.authorKorniłowicz, Artur-
dc.date.accessioned2015-12-06T19:05:18Z-
dc.date.available2015-12-06T19:05:18Z-
dc.date.issued2012-
dc.identifier.citationFormalized Mathematics, Volume 20, Issue 1, 2012, Pages 7-14-
dc.identifier.issn1426-2630-
dc.identifier.issn1898-9934-
dc.identifier.urihttp://hdl.handle.net/11320/3622-
dc.description.abstractIn 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.isoen-
dc.publisherDe Gruyter Open-
dc.titleValuation Theory. Part I-
dc.typeArticle-
dc.identifier.doi10.2478/v10037-012-0002-4-
dc.description.AffiliationBancerek Grzegorz - Białystok Technical University, Poland-
dc.description.AffiliationKobayashi Hidetsune - Department of Mathematics College of Science and Technology, Nihon University, 8 Kanda Surugadai Chiyoda-ku, 101-8308 Tokyo, Japan-
dc.description.AffiliationKorniłowicz Artur - Institute of Informatics, University of Białystok, Sosnowa 64, 15-887 Białystok, Poland-
dc.description.referencesEmil Artin. Algebraic Numbers and Algebraic Functions. Gordon and Breach Science Publishers, 1994.-
dc.description.referencesJonathan Backer, Piotr Rudnicki, and Christoph Schwarzweller. Ring ideals. Formalized Mathematics, 9(3):565-582, 2001.-
dc.description.referencesGrzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990.-
dc.description.referencesGrzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.-
dc.description.referencesGrzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.-
dc.description.referencesJózef Białas. Properties of fields. Formalized Mathematics, 1(5):807-812, 1990.-
dc.description.referencesCzesław Byliński. Binary operations. Formalized Mathematics, 1(1):175-180, 1990.-
dc.description.referencesCzesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.-
dc.description.referencesCzesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.-
dc.description.referencesCzesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.-
dc.description.referencesCzesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.-
dc.description.referencesArtur Korniłowicz. Quotient rings. Formalized Mathematics, 13(4):573-576, 2005.-
dc.description.referencesEugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990.-
dc.description.referencesMichał Muzalewski. Construction of rings and left-, right-, and bi-modules over a ring. Formalized Mathematics, 2(1):3-11, 1991.-
dc.description.referencesAndrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990.-
dc.description.referencesMichał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990.-
dc.description.referencesWojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990.-
dc.description.referencesWojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.-
dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.-
dc.description.referencesEdmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.-
dc.description.referencesEdmund 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

Pliki w tej pozycji:
Plik Opis RozmiarFormat 
v10037-012-0002-4.pdf278,07 kBAdobe PDFOtwórz
Pokaż uproszczony widok rekordu Zobacz statystyki


Pozycja ta dostępna jest na podstawie licencji Licencja Creative Commons CCL Creative Commons