Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji:
http://hdl.handle.net/11320/3591
Pełny rekord metadanych
Pole DC | Wartość | Język |
---|---|---|
dc.contributor.author | Okazaki, Hiroyuki | - |
dc.contributor.author | Arai, Kenichi | - |
dc.contributor.author | Shidama, Yasunari | - |
dc.date.accessioned | 2015-12-06T19:04:20Z | - |
dc.date.available | 2015-12-06T19:04:20Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | Formalized Mathematics, Volume 19, Issue 1, 2011, Pages 23-26 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.issn | 1898-9934 | - |
dc.identifier.uri | http://hdl.handle.net/11320/3591 | - |
dc.description.abstract | In [6] it was formalized that the direct product of a family of groups gives a new group. In this article, we formalize that for all j ∈ I, the group G = Πi∈IGi has a normal subgroup isomorphic to Gj. Moreover, we show some relations between a family of groups and its direct product. | - |
dc.language.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.title | Normal Subgroup of Product of Groups | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/v10037-011-0004-7 | - |
dc.description.Affiliation | Okazaki Hiroyuki - Shinshu University, Nagano, Japan | - |
dc.description.Affiliation | Arai Kenichi - Shinshu University, Nagano, Japan | - |
dc.description.Affiliation | Shidama Yasunari - Shinshu University, Nagano, Japan | - |
dc.description.references | Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 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 | Grzegorz Bancerek and Andrzej Trybulec. Miscellaneous facts about functions. Formalized Mathematics, 5(4):485-492, 1996. | - |
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 | Artur Korniłowicz. The product of the families of the groups. Formalized Mathematics, 7(1):127-134, 1998. | - |
dc.description.references | Wojciech A. Trybulec. Classes of conjugation. Normal subgroups. Formalized Mathematics, 1(5):955-962, 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. 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. | - |
Występuje w kolekcji(ach): | Formalized Mathematics, 2011, Volume 19, Issue 1 |
Pliki w tej pozycji:
Plik | Opis | Rozmiar | Format | |
---|---|---|---|---|
v10037-011-0004-7.pdf | 266,54 kB | Adobe PDF | Otwórz |
Pozycja ta dostępna jest na podstawie licencji Licencja Creative Commons CCL