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http://dx.doi.org/10.4134/JKMS.2007.44.4.987

ON TYPES OF NOETHERIAN LOCAL RINGS AND MODULES  

Lee, Ki-Suk (DEPARTMENT OF MATHEMATICS SOOKMYUNG WOMEN'S UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.44, no.4, 2007 , pp. 987-995 More about this Journal
Abstract
We investigate some results which concern the types of Noetherian local rings. In particular, we show that if r(Ap) ${\le}$ depth Ap + 1 for each prime ideal p of a quasi-unmixed Noetherian local ring A, then A is Cohen-Macaulay. It is also shown that the Kawasaki conjecture holds when dim A ${\le}$ depth A + 1. At the end, we deal with some analogous results for modules, which are derived from the results studied on rings.
Keywords
Cohen-Macaulay ring; type of a ring; Gorenstein ring;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
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