Conservation Rules of Direct Sum Decomposition of Groups

• Autorzy: Kazuhisa Nakasho , Hiroshi Yamazaki , Hiroyuki Okazaki , Yasunari Shidama
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

group theory; direct sum decomposition

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2016
• Tom: 24
• Numer: 1
• Strony: 81-94

Daty

wydano

2016-03-01

otrzymano

2015-12-31

online

2016-08-19

Twórcy

autor

Kazuhisa Nakasho

• Shinshu University Nagano, Japan

autor

Hiroshi Yamazaki

• Shinshu University Nagano, Japan

autor

Hiroyuki Okazaki

• Shinshu University Nagano, Japan

autor

Yasunari Shidama

• Shinshu University Nagano, Japan

Bibliografia

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• [13] D. Robinson. A Course in the Theory of Groups. Springer New York, 2012.
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Identyfikatory

DOI

10.1515/forma-2016-0007