Memoirs of the Faculty of Science, Shimane University

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Memoirs of the Faculty of Science, Shimane University 14
1980-12-20 発行

等質系について(III)

On Homogeneous Systems(III)
Kikkawa, Michihiko
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Description
The investigation of various properties of homogeneous systems in [2], [3], [4] is continued to this paper. The notions of normal subsystems and quoticnt homogeneous systems are introduced in §1 . In §2, analytic homomorphisms of analytic homogeneous systems are treated. It is shown that the tangent Lie triple algebra of a closed normal subsystem of a geodesic homogreneous system G is an ideal of the tangent Lie triple algebra of G (Theorem 3).