Geodesic
H-Simple H-Module Algebras
Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 363-366

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DOI

Let A be an H-simple commutative H-module algebra, with AH = k and dimk H ≤ dimk A < ∞. We show that this implies that A # H is isomorphic to Mn (k), a central simple algebra. We apply this to characterize certain group graded algebras, algebras acted upon by a group as automorphisms, or by a nilpotent Lie algebra as derivations.
DOI : 10.4153/CMB-1987-052-0
Mots-clés : 16A24 
Cohen, Miriam. H-Simple H-Module Algebras. Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 363-366. doi: 10.4153/CMB-1987-052-0
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     title = {H-Simple {H-Module} {Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {363--366},
     year = {1987},
     volume = {30},
     number = {3},
     doi = {10.4153/CMB-1987-052-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-052-0/}
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