Rings with Automorphisms Leaving no Nontrivial Proper Ideals Invariant
Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 478-486

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If an automorphism a on a ring R (with 1) leaves no non-trivial proper ideals of R invariant then we say that R is σ-simple. We construct examples of σ-simple rings and prove that finitely generated σ-simple algebras over fields are regular. A geometric interpretation of these concepts is also discussed.
DOI : 10.4153/CMB-1982-069-0
Mots-clés : 13B10
Shamsuddin, Ahmad. Rings with Automorphisms Leaving no Nontrivial Proper Ideals Invariant. Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 478-486. doi: 10.4153/CMB-1982-069-0
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     title = {Rings with {Automorphisms} {Leaving} no {Nontrivial} {Proper} {Ideals} {Invariant}},
     journal = {Canadian mathematical bulletin},
     pages = {478--486},
     year = {1982},
     volume = {25},
     number = {4},
     doi = {10.4153/CMB-1982-069-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-069-0/}
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