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Polynomial rings over commutative reduced Hopfian local rings.
- Source :
-
Acta Mathematica Hungarica . Feb2018, Vol. 154 Issue 1, p243-251. 9p. - Publication Year :
- 2018
-
Abstract
- We prove that if R is a commutative, reduced, local ring, then R is Hopfian if and only if the ring R[ x] is Hopfian. This answers a question of Varadarajan [16], in the case when R is a reduced local ring. We provide examples of non-Noetherian Hopfian commutative domains by proving that the finite dimensional domains are Hopfian. Also, we derive some general results related to Hopfian rings. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02365294
- Volume :
- 154
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Hungarica
- Publication Type :
- Academic Journal
- Accession number :
- 127378672
- Full Text :
- https://doi.org/10.1007/s10474-017-0782-7