Orbits of automorphisms of integral domains
Sharma, Pramod K.
Illinois J. Math., Tome 52 (2008) no. 1, p. 645-652 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Let R be an integral domain. We study the structure of R under the condition that the orbit space R/Aut(R) is finite. It is proved that if R is Noetherian, then |R/Aut(R)|=∞ unless R is a finite field (Theorem 15 and Corollary 16). Furthermore, we give an example of an infinite integral domain with |R/Aut(R)|<∞.
Publié le : 2008-05-15
Classification:  13G05,  13A99 
@article{1248355355,
     author = {Sharma, Pramod K.},
     title = {Orbits of automorphisms of integral domains},
     journal = {Illinois J. Math.},
     volume = {52},
     number = {1},
     year = {2008},
     pages = { 645-652},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1248355355}
}

Sharma, Pramod K. Orbits of automorphisms of integral domains. Illinois J. Math., Tome 52 (2008) no. 1, pp.  645-652. http://gdmltest.u-ga.fr/item/1248355355/