Definition and Properties of Direct Sum Decomposition of Groups1

In this article, direct sum decomposition of group is mainly discussed. In the second section, support of element of direct product group is defined and its properties are formalized. It is formalized here that an element of direct product group belongs to its direct sum if and only if support of th...

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Bibliographic Details
Main Authors: Nakasho Kazuhisa, Yamazaki Hiroshi, Okazaki Hiroyuki, Shidama Yasunari
Format: Article
Language:English
Published: Sciendo 2015-03-01
Series:Formalized Mathematics
Subjects:
Online Access:https://doi.org/10.2478/forma-2015-0002