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Griffith, Phillip A. Lee, Si-Chang 2011-05-07T12:16:53Z 2011-05-07T12:16:53Z 10000-01-01 1995 In this thesis we study some special cases of Chow groups of a ramified complete regular local ring R of dimension n. We prove that (a) for codimension 3 Gorenstein ideal I, (I) = 0 in $A\sb{n-3}(R)$ and (b) for a particular class of almost complete intersection prime ideals P of height i, (P) = 0 in $A\sb{n-i}(R).$ We also study the above problem when the Eisenstein polynomial is of the form $f = p + X\sbsp{1}{t\sb1} + X\sbsp{2}{t\sb2} + X\sbsp{3}{t\sb3} + X\sbsp{4}{2} + X\sbsp{5}{2}$ and $f = p + X\sbsp{1}{2} + \cdots + X\sbsp{n-2}{2} + X\sbsp{n-1}{4} + X\sbsp{n}{4}.$ Several other cases of the problem are also established. Made available in DSpace on 2011-05-07T12:16:53Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9624411.pdf: 905498 bytes, checksum: a21734acc9b29e339618fbbcc93d950a (MD5) Previous issue date: 1995 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:39:05Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:16:23-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9624411 (UMI)AAI9624411 http://hdl.handle.net/2142/19736 eng Copyright 1995 Lee, Si-Chang Mathematics Some special cases of Chow groups of complete ramified regular local rings text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.