Geodesic
Rings With Finite Maximal Invariant Subrings
Canadian journal of mathematics, Tome 48 (1996) no. 3, pp. 596-606

Voir la notice de l'article provenant de la source Cambridge University Press

We prove that if φ is an (anti-) automorphism of a ring R with finite orbits on R, or integral over the integers, and if R contains a finite maximal φ-invariant subring, then R must be finite. Special cases are when φ has finite order or is an involution. Two corollaries are that R must be finite when R contains only finitely many φ-invariant subrings or has both ascending and descending chain conditions on φ invariant subrings. These generalize results in the literature for the special case when φ = idR.
DOI : 10.4153/CJM-1996-031-8
Mots-clés : 16P10, 16W20, 16P70 
Lanski, Charles. Rings With Finite Maximal Invariant Subrings. Canadian journal of mathematics, Tome 48 (1996) no. 3, pp. 596-606. doi: 10.4153/CJM-1996-031-8
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