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http://hdl.handle.net/11320/3680
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Pole DC | Wartość | Język |
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dc.contributor.author | Futa, Yuichi | - |
dc.contributor.author | Okazaki, Hiroyuki | - |
dc.contributor.author | Mizushima, Daichi | - |
dc.contributor.author | Shidama, Yasunari | - |
dc.date.accessioned | 2015-12-09T20:39:34Z | - |
dc.date.available | 2015-12-09T20:39:34Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Formalized Mathematics, Volume 21, Issue 2, 2013, Pages 115-125 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.issn | 1898-9934 | - |
dc.identifier.uri | http://hdl.handle.net/11320/3680 | - |
dc.description | This research was presented during the 2012 International Symposium on Information Theory and its Applications (ISITA2012) in Honolulu, USA. | - |
dc.description.abstract | Gaussian integer is one of basic algebraic integers. In this article we formalize some definitions about Gaussian integers [27]. We also formalize ring (called Gaussian integer ring), Z-module and Z-algebra generated by Gaussian integer mentioned above. Moreover, we formalize some definitions about Gaussian rational numbers and Gaussian rational number field. Then we prove that the Gaussian rational number field and a quotient field of the Gaussian integer ring are isomorphic. | - |
dc.description.sponsorship | This work was supported by JSPS KAKENHI 21240001 and 22300285. | - |
dc.language.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.subject | formalization of Gaussian integers | - |
dc.subject | algebraic integers | - |
dc.title | Gaussian Integers | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/forma-2013-0013 | - |
dc.description.Affiliation | Futa Yuichi - Japan Advanced Institute of Science and Technology Ishikawa, Japan | - |
dc.description.Affiliation | Okazaki Hiroyuki - Shinshu University Nagano, Japan | - |
dc.description.Affiliation | Mizushima Daichi - Shinshu University Nagano, Japan | - |
dc.description.Affiliation | Shidama Yasunari - Shinshu University Nagano, Japan | - |
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Występuje w kolekcji(ach): | Formalized Mathematics, 2013, Volume 21, Issue 2 |
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