Equivalent Expressions of Direct Sum Decomposition of Groups1

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

Abstrakty

EN

In this article, the equivalent expressions of the direct sum decomposition of groups are mainly discussed. In the first section, we formalize the fact that the internal direct sum decomposition can be defined as normal subgroups and some of their properties. In the second section, we formalize an equivalent form of internal direct sum of commutative groups. In the last section, we formalize that the external direct sum leads an internal direct sum. We referred to [19], [18] [8] and [14] in the formalization.

Słowa kluczowe

EN

group theory; direct sum decomposition

Kategorie tematyczne

• 03B35: Mechanization of proofs and logical operations
• 20E34: General structure theorems

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2015
• Tom: 23
• Numer: 1
• Strony: 67-73

Daty

wydano

2015-03-01

otrzymano

2015-02-26

online

2015-03-31

Twórcy

autor

Kazuhisa Nakasho

• Shinshu University, Nagano, Japan

autor

Hiroyuki Okazaki

• Shinshu University, Nagano, Japan

autor

Hiroshi Yamazaki

• Shinshu University, Nagano, Japan

autor

Yasunari Shidama

• Shinshu University, Nagano, Japan

Bibliografia

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Identyfikatory

DOI

10.2478/forma-2015-0006

bwmeta1.id-class.MML

GROUP _20