On a theorem of F. S. Macaulay on colon ideals.
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Verma, J.K. (2002)
Beiträge zur Algebra und Geometrie
Tadayuki Matsuoka (1977)
Manuscripta mathematica
Edgar E. Enochs, Jenda M. G. Overtoun (1994)
Commentationes Mathematicae Universitatis Carolinae
In this paper, we use a characterization of -modules such that to characterize Cohen-Macaulay rings in terms of various dimensions. This is done by setting to be the local cohomology functor of with respect to the maximal ideal where is the Krull dimension of .
Kishor Shah (1994)
Mathematische Zeitschrift
B. Torrecillas, F. Van Oystaeyen (1990)
Rendiconti del Seminario Matematico della Università di Padova
Maria Pia Cavaliere, Gianfranco Niesi (1983)
Manuscripta mathematica
Le Tuan Hoa (1991)
Manuscripta mathematica
M. Herrmann, E. Hyry, J. Ribbe (1995)
Mathematische Annalen
Kurt Behnke (1981)
Mathematische Annalen
S. Greco, C. Traverso (1980)
Compositio Mathematica
Alfio Ragusa, Giuseppe Zappalà (2003)
Collectanea Mathematica
Partial intersection subschemes of Pr of codimension c were used to furnish various graded Betti numbers which agree with a fixed Hilbert function. Here we study some further properties of such schemes; in particular, we show that they are not in general licci and we give a large class of them which are licci. Moreover, we show that all partial intersections are glicci. We also show that for partial intersections the first and the last Betti numbers, say m and p respectively, give bounds each other;...
Maria Evelina Rossi (1981)
Manuscripta mathematica
Valentina Barucci, Kerstin Petterson (1995)
Manuscripta mathematica
JÜRGEN STÜCKRAD (1985)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Maria Evelina Rossi, Giuseppe Valla (2009)
Rendiconti del Seminario Matematico della Università di Padova
C.T.C. Wall (1973)
Inventiones mathematicae
Manfred Herrmann, J. Ribbe, Eero Hyry (1993)
Manuscripta mathematica
H. Bresinsky (1984)
Monatshefte für Mathematik
Solčan, Š. (2000)
Acta Mathematica Universitatis Comenianae. New Series
Herzog, Jürgen, Restuccia, Gaetana, Rinaldo, Giancarlo (2006)
Beiträge zur Algebra und Geometrie
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