アキビス左ループについての注意

島根大学理学部紀要 Volume 29 Page 1-9 published_at 1995-12-25
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Title
アキビス左ループについての注意
Title
Remarks on Akivis Left Loops
Title Transcription
アキビス ヒダリ ループ ニツイテノ チュウイ
Creator
Kikkawa Michihiko
Source Title
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
Volume 29
Start Page 1
End Page 9
Journal Identifire
ISSN 03879925
Descriptions
After introducing the concept of algebraic projective relation of abstract homogeneous systems, we consider the projectivity of normal left subloops of homogeneous left loops. We introduce the concept of Akivis left loops on abstract groups, and show that any normal subgroup H of an abstract group G induces a normal left subloop of each Akivis left loop on G, which is in projective relation with H, and that Akivis left loops of the quotient group G/H are equal to quotient homogeneous left loops of Akivis left loops.
Language
eng
Resource Type departmental bulletin paper
Publisher
島根大学理学部
The Faculty of Science, Shimane University
Date of Issued 1995-12-25
Access Rights open access
Relation
[NCID] AN00108106