We prove a series of "going-up" theorems contrasting the structure of semiprime algebras and their subalgebras of invariants under the actions of Lie color algebras.
Institute of Mathematics, University of Białystok, Akademicka 2, 15-267 Białystok, Poland
Bibliografia
[BG1] J. Bergen and P. Grzeszczuk, Invariants of Lie superalgebras acting on associative algebras, Israel J. Math. 94 (1996), 403-428.
[BG2] J. Bergen and P. Grzeszczuk, Gradings, derivations, and automorphisms of some algebras which are nearly associative, J. Algebra 179 (1996), 732-750.
[CR] M. Cohen and L. Rowen, Group graded rings, Comm. Algebra 11 (1983), 1253-1270.
[J] N. Jacobson, A note on automorphisms and derivations of Lie algebras, Proc. Amer. Math. Soc. 6 (1955), 281-283.
[M] S. Montgomery, Hopf Algebras and Their Actions on Rings, CBMS Regional Conf. Ser. in Math. 82, Amer. Math. Soc., Providence, RI, 1993.
[Sc] M. Scheunert, Generalized Lie algebras, J. Math. Phys. 20 (1979), 712-720.
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Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-cmv83i1p107bwm
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