Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji:
http://hdl.handle.net/11320/3689
Pełny rekord metadanych
Pole DC | Wartość | Język |
---|---|---|
dc.contributor.author | Yamazaki, Hiroshi | - |
dc.contributor.author | Okazaki, Hiroyuki | - |
dc.contributor.author | Nakasho, Kazuhisa | - |
dc.contributor.author | Shidama, Yasunari | - |
dc.date.accessioned | 2015-12-09T20:39:49Z | - |
dc.date.available | 2015-12-09T20:39:49Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Formalized Mathematics, Volume 21, Issue 3, 2013, Pages 207-211 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.issn | 1898-9934 | - |
dc.identifier.uri | http://hdl.handle.net/11320/3689 | - |
dc.description.abstract | In this paper we formalized some theorems concerning the cyclic groups of prime power order. We formalize that every commutative cyclic group of prime power order is isomorphic to a direct product of family of cyclic groups [1], [18]. | - |
dc.language.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.subject | formalization of the commutative cyclic group | - |
dc.subject | prime power set | - |
dc.title | Isomorphisms of Direct Products of Cyclic Groups of Prime Power Order | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/forma-2013-0022 | - |
dc.description.Affiliation | Yamazaki Hiroshi - Shinshu University Nagano, Japan | - |
dc.description.Affiliation | Okazaki Hiroyuki - Shinshu University Nagano, Japan | - |
dc.description.Affiliation | Nakasho Kazuhisa - Shinshu University Nagano, Japan | - |
dc.description.Affiliation | Shidama Yasunari - Shinshu University Nagano, Japan | - |
dc.description.references | Kenichi Arai, Hiroyuki Okazaki, and Yasunari Shidama. Isomorphisms of direct products of finite cyclic groups. Formalized Mathematics, 20(4):343-347, 2012. doi:10.2478/v10037-012-0038-5. | - |
dc.description.references | Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990. | - |
dc.description.references | Grzegorz Bancerek. Monoids. Formalized Mathematics, 3(2):213-225, 1992. | - |
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 | Czesław Bylinski. Functions and their basic properties. Formalized Mathematics, 1(1): 55-65, 1990. | - |
dc.description.references | Czesław Bylinski. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990. | - |
dc.description.references | Czesław Bylinski. Partial functions. Formalized Mathematics, 1(2):357-367, 1990. | - |
dc.description.references | Czesław Bylinski. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990. | - |
dc.description.references | Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990. | - |
dc.description.references | Andrzej Kondracki. Basic properties of rational numbers. Formalized Mathematics, 1(5): 841-845, 1990. | - |
dc.description.references | Artur Korniłowicz. The product of the families of the groups. Formalized Mathematics, 7(1):127-134, 1998. | - |
dc.description.references | Jarosław Kotowicz. Convergent real sequences. Upper and lower bound of sets of real numbers. Formalized Mathematics, 1(3):477-481, 1990. | - |
dc.description.references | Rafał Kwiatek. Factorial and Newton coefficients. Formalized Mathematics, 1(5):887-890, 1990. | - |
dc.description.references | Rafał Kwiatek and Grzegorz Zwara. The divisibility of integers and integer relatively primes. Formalized Mathematics, 1(5):829-832, 1990. | - |
dc.description.references | Beata Madras. Product of family of universal algebras. Formalized Mathematics, 4(1): 103-108, 1993. | - |
dc.description.references | Hiroyuki Okazaki, Hiroshi Yamazaki, and Yasunari Shidama. Isomorphisms of direct products of finite commutative groups. Formalized Mathematics, 21(1):65-74, 2013. doi:10.2478/forma-2013-0007. | - |
dc.description.references | Dariusz Surowik. Isomorphisms of cyclic groups. Some properties of cyclic groups. Formalized Mathematics, 3(1):29-32, 1992. | - |
dc.description.references | Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1): 115-122, 1990. | - |
dc.description.references | Andrzej Trybulec. On the sets inhabited by numbers. Formalized Mathematics, 11(4): 341-347, 2003. | - |
dc.description.references | Andrzej Trybulec. Many sorted sets. Formalized Mathematics, 4(1):15-22, 1993. | - |
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. Subgroup and cosets of subgroups. Formalized Mathematics, 1(5): 855-864, 1990. | - |
dc.description.references | Wojciech A. Trybulec. Classes of conjugation. Normal subgroups. Formalized Mathematics, 1(5):955-962, 1990. | - |
dc.description.references | Wojciech A. Trybulec. Lattice of subgroups of a group. Frattini subgroup. Formalized Mathematics, 2(1):41-47, 1991. | - |
dc.description.references | Wojciech A. Trybulec and Michał J. Trybulec. Homomorphisms and isomorphisms of groups. Quotient group. Formalized Mathematics, 2(4):573-578, 1991. | - |
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): | Formalized Mathematics, 2013, Volume 21, Issue 3 |
Pliki w tej pozycji:
Plik | Opis | Rozmiar | Format | |
---|---|---|---|---|
forma-2013-0022.pdf | 212,41 kB | Adobe PDF | Otwórz |
Pozycja ta dostępna jest na podstawie licencji Licencja Creative Commons CCL