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Observations on the homogeneous systems of K. Yamaguti. (English) Zbl 0622.17015
The concept of homogeneous system has been introduced by K. Yamaguti [J. Sci. Hiroshima Univ., Ser. A 22, 186-190 (1958; Zbl 0126.272)]. The author defines homogeneous systems of finite order T satisfying identities \([a_ 1,...,a_{p+s}]=0\) for \(p\in {\mathbb{N}}\), \(a_ i\in T\), \(i=1,...,p+s\), and \(s=2,3...\), and proves some results generalizing results of K. Yamaguti about Lie triple systems and of the author on special homogeneous systems respectively.

MSC:
17D99 Other nonassociative rings and algebras
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