Journal article
S-NOETHERIAN RINGS
Communications in algebra, Vol.30(9), pp.4407-4416
2006
DOI: 10.1081/agb-120013328
Abstract
A commutative ring R with identity is called S-Noetherian, where is a given multiplicative set, if for each ideal I of R, for some and some finitely generated ideal J. Using this concept, we tie together several different known results. For instance, the fact that is a Noetherian ring whenever R is so, and that is Noetherian whenever for each nonzero element d of the domain D areboth consequences of the following result: If R is an S-Noetherian ring, then so is , provided for each where S consists of nonzerodivisors.
Details
- Title: Subtitle
- S-NOETHERIAN RINGS
- Creators
- D. D Anderson - a Department of Mathematics , The University of Iowa , Iowa City , IA , 52242 , U.S.ATiberiu Dumitrescu - b Universitatea Bucures¸ti , 14, Academiei Str., Bucharest , RO , 70109 , Romania
- Resource Type
- Journal article
- Publication Details
- Communications in algebra, Vol.30(9), pp.4407-4416
- Publisher
- Informa UK Limited
- DOI
- 10.1081/agb-120013328
- ISSN
- 1532-4125
- eISSN
- 1532-4125
- Language
- English
- Date published
- 2006
- Academic Unit
- Mathematics
- Record Identifier
- 9983985948202771
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