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.
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
@article{10_4153_CMB_1982_069_0,
author = {Shamsuddin, Ahmad},
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/}
}
TY - JOUR AU - Shamsuddin, Ahmad TI - Rings with Automorphisms Leaving no Nontrivial Proper Ideals Invariant JO - Canadian mathematical bulletin PY - 1982 SP - 478 EP - 486 VL - 25 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-069-0/ DO - 10.4153/CMB-1982-069-0 ID - 10_4153_CMB_1982_069_0 ER -
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