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http://hdl.handle.net/11320/3658
Pełny rekord metadanych
Pole DC | Wartość | Język |
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dc.contributor.author | Arai, Kenichi | - |
dc.contributor.author | Okazaki, Hiroyuki | - |
dc.contributor.author | Shidama, Yasunari | - |
dc.date.accessioned | 2015-12-06T19:06:10Z | - |
dc.date.available | 2015-12-06T19:06:10Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Formalized Mathematics, Volume 20, Issue 4, 2012, Pages 343-347 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.issn | 1898-9934 | - |
dc.identifier.uri | http://hdl.handle.net/11320/3658 | - |
dc.description.abstract | In this article, we formalize that every finite cyclic group is isomorphic to a direct product of finite cyclic groups which orders are relative prime. This theorem is closely related to the Chinese Remainder theorem ([18]) and is a useful lemma to prove the basis theorem for finite abelian groups and the fundamental theorem of finite abelian groups. Moreover, we formalize some facts about the product of a finite sequence of abelian groups. | - |
dc.language.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.title | Isomorphisms of Direct Products of Finite Cyclic Groups | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/v10037-012-0038-5 | - |
dc.description.Affiliation | Arai Kenichi - Tokyo University of Science, Chiba, Japan | - |
dc.description.Affiliation | Okazaki Hiroyuki - Shinshu University, Nagano, Japan | - |
dc.description.Affiliation | Shidama Yasunari - Shinshu University, Nagano, Japan | - |
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dc.description.references | Christoph Schwarzweller. Modular integer arithmetic. Formalized Mathematics, 16(3):247-252, 2008, doi:10.2478/v10037-008-0029-8. | - |
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Występuje w kolekcji(ach): | Formalized Mathematics, 2012, Volume 20, Issue 4 |
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v10037-012-0038-5.pdf | 265,18 kB | Adobe PDF | Otwórz |
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