Conservation Rules of Direct Sum Decomposition of Groups

Pole DC	Wartość	Język
dc.contributor.author	Nakasho, Kazuhisa	-
dc.contributor.author	Yamazaki, Hiroshi	-
dc.contributor.author	Okazaki, Hiroyuki	-
dc.contributor.author	Shidama, Yasunari	-
dc.date.accessioned	2017-05-16T09:30:39Z	-
dc.date.available	2017-05-16T09:30:39Z	-
dc.date.issued	2016	-
dc.identifier.citation	Formalized Mathematics, Volume 24, Issue 1, pp. 81-94	pl
dc.identifier.issn	1426-2630	pl
dc.identifier.issn	1898-9934	pl
dc.identifier.uri	http://hdl.handle.net/11320/5492	-
dc.description.abstract	In this article, conservation rules of the direct sum decomposition of groups are mainly discussed. In the first section, we prepare miscellaneous definitions and theorems for further formalization in Mizar [5]. In the next three sections, we formalized the fact that the property of direct sum decomposition is preserved against the substitutions of the subscript set, flattening of direct sum, and layering of direct sum, respectively. We referred to [14], [13] [6] and [11] in the formalization.	-
dc.language.iso	en	-
dc.publisher	De Gruyter Open	-
dc.subject	group theory	-
dc.subject	direct sum decomposition	-
dc.title	Conservation Rules of Direct Sum Decomposition of Groups	-
dc.type	Article	-
dc.identifier.doi	10.1515/forma-2016-0007	-
dc.description.Affiliation	Nakasho Kazuhisa - Shinshu University Nagano, Japan	-
dc.description.Affiliation	Yamazaki Hiroshi - Shinshu University Nagano, Japan	-
dc.description.Affiliation	Okazaki Hiroyuki - Shinshu University Nagano, Japan	-
dc.description.Affiliation	Shidama Yasunari - Shinshu University Nagano, Japan	-
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