ON TYPES OF NOETHERIAN LOCAL RINGS AND MODULES

Title & Authors
ON TYPES OF NOETHERIAN LOCAL RINGS AND MODULES
Lee, Ki-Suk;

Abstract
We investigate some results which concern the types of Noetherian local rings. In particular, we show that if r(Ap) $\small{{\le}}$ 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 $\small{{\le}}$ 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;
Language
English
Cited by
1.
MAPS IN MINIMAL INJECTIVE RESOLUTIONS OF MODULES,;

대한수학회보, 2009. vol.46. 3, pp.545-551
2.
SOME REMARKS ON TYPES OF NOETHERIAN LOCAL RINGS,;

충청수학회지, 2014. vol.27. 4, pp.625-633
1.
SOME REMARKS ON TYPES OF NOETHERIAN LOCAL RINGS, Journal of the Chungcheong Mathematical Society , 2014, 27, 4, 625
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