島根大学理学部紀要

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島根大学理学部紀要 29
1995-12-25 発行

アキビス左ループについての注意

Remarks on Akivis Left Loops
吉川 通彦
ファイル
内容記述(抄録等)
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.