# Invariants of Lie color algebras acting on graded algebras

Jeffrey Bergen; Piotr Grzeszczuk

Colloquium Mathematicae (2000)

- Volume: 83, Issue: 1, page 107-124
- ISSN: 0010-1354

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topBergen, Jeffrey, and Grzeszczuk, Piotr. "Invariants of Lie color algebras acting on graded algebras." Colloquium Mathematicae 83.1 (2000): 107-124. <http://eudml.org/doc/210766>.

@article{Bergen2000,

abstract = {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.},

author = {Bergen, Jeffrey, Grzeszczuk, Piotr},

journal = {Colloquium Mathematicae},

keywords = {Lie color algebra; subalgebra of invariants; graded algebra; semiprime algebra; Artinian algebra; Goldie dimension; Krull dimension; Noetherian algebra},

language = {eng},

number = {1},

pages = {107-124},

title = {Invariants of Lie color algebras acting on graded algebras},

url = {http://eudml.org/doc/210766},

volume = {83},

year = {2000},

}

TY - JOUR

AU - Bergen, Jeffrey

AU - Grzeszczuk, Piotr

TI - Invariants of Lie color algebras acting on graded algebras

JO - Colloquium Mathematicae

PY - 2000

VL - 83

IS - 1

SP - 107

EP - 124

AB - 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.

LA - eng

KW - Lie color algebra; subalgebra of invariants; graded algebra; semiprime algebra; Artinian algebra; Goldie dimension; Krull dimension; Noetherian algebra

UR - http://eudml.org/doc/210766

ER -

## References

top- [BG1] J. Bergen and P. Grzeszczuk, Invariants of Lie superalgebras acting on associative algebras, Israel J. Math. 94 (1996), 403-428. Zbl0863.16028
- [BG2] J. Bergen and P. Grzeszczuk, Gradings, derivations, and automorphisms of some algebras which are nearly associative, J. Algebra 179 (1996), 732-750. Zbl0859.17002
- [CR] M. Cohen and L. Rowen, Group graded rings, Comm. Algebra 11 (1983), 1253-1270. Zbl0522.16001
- [J] N. Jacobson, A note on automorphisms and derivations of Lie algebras, Proc. Amer. Math. Soc. 6 (1955), 281-283. Zbl0064.27002
- [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. Zbl0423.17003

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