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A NOTE ON *w-NOETHERIAN DOMAINS.
- Source :
-
Proceedings of the American Mathematical Society . Apr2013, Vol. 141 Issue 4, p1199-1209. 11p. - Publication Year :
- 2013
-
Abstract
- Let D be an integral domain with quotient field K, * be a staroperation on D, and GV *(D) be the set of finitely generated ideals J of D such that J* = D. Then the map *w defined by I*w = {x Є K | Jx ⊆ I for some J Є GV *(D)} for all nonzero fractional ideals I of D is a finite character staroperation on D. In this paper, we study several properties of *w-Noetherian domains. In particular, we prove the Hilbert basis theorem for *w-Noetherian domains. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 141
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 85104944
- Full Text :
- https://doi.org/10.1090/s0002-9939-2012-10706-3