Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics

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Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 31
1998-03 発行

Projectivity of Lie Triple Algebras

Kikkawa, Michihiko
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Description
The new algebraic concept of projectivity is introduced for Lie triple algebras which induces from a given Lie triple algbera g some other Lie triple algebra ~g in projective relation with g, by using some Lie algebra l of projectivity on the same underlying vector space. The projectivity is discussed for Lie algebras and Lie triple systems as special cases.