dc.contributor.author | Aberbach, Ian M. | eng |
dc.date.issued | 2002 | eng |
dc.description | This is a preprint of an article published in the Journal of Algebra, vol. 241 (2001), no. 2, 799-807. | eng |
dc.description.abstract | Throughout this paper all rings will be Noetherian of positive characteristic p. Hence
tight closure theory [HH1-4] takes a prominent place (see §2 for tight closure definitions
and terminology). The purpose of this note is to help answer the following question: if
R is weakly (resp. strongly) F-regular and φ : R → S is a flat map then under what conditions on the fibers is S weakly (resp. strongly) F-regular. This question (among many others) is raised in [HH4] in section 7. It is shown there that if φ is a flat map of local rings, S is excellent and the generic and closed fibers are regular then weak Fregularity of R implies that of S (Theorem 7.24). One of our main results weakens the hypotheses considerably. | eng |
dc.identifier.uri | http://hdl.handle.net/10355/10595 | eng |
dc.language | English | eng |
dc.relation.ispartof | Mathematics publications (MU) | eng |
dc.relation.ispartofcommunity | University of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics | eng |
dc.source.uri | http://www.math.missouri.edu/~aberbach/preprints/index.html | eng |
dc.source.uri | http://www.math.missouri.edu/~aberbach/preprints/index.html | eng |
dc.subject | Gorenstein closed fibers | eng |
dc.subject.lcsh | Noetherian rings | eng |
dc.title | Extension of weakly and strongly F-regular rings by flat maps | eng |
dc.type | Article | eng |