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島根大学理学部紀要 Volume 27
published_at 1993-12-25
等質左リー・ループの正規左リー部分ループについて
On Normal Left Lie Subloops of Homogeneous Left Lie Loops
Kikkawa Michihiko
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We show that any homogeneous left loop is characterized by the homogeneous system associated with it. By applying this result to the theory of normal subsystems of analytic homogeneous systems developed in [5], we show the fundamental theorems concerning normal left Lie subloops of homogeneous left Lie loops, an exact generalization of the theory of Lie groups and Lie algebras.
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