Nagoya Mathematical Journal
- Nagoya Math. J.
- Volume 200 (2010), 93-106.
Quasi-socle ideals in Buchsbaum rings
Quasi-socle ideals, that is, ideals of the form , with parameter ideals in a Buchsbaum local ring , are explored in connection to the question of when is integral over and when the associated graded ring of is Buchsbaum. The assertions obtained by Wang in the Cohen-Macaulay case hold true after necessary modifications of the conditions on parameter ideals and integers . Examples are explored.
Nagoya Math. J., Volume 200 (2010), 93-106.
First available in Project Euclid: 28 December 2010
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Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 13H10: Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) [See also 14M05]
Secondary: 13A30: Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics 13B22: Integral closure of rings and ideals [See also 13A35]; integrally closed rings, related rings (Japanese, etc.) 13H15: Multiplicity theory and related topics [See also 14C17]
Goto, Shiro; Horiuchi, Jun; Sakurai, Hideto. Quasi-socle ideals in Buchsbaum rings. Nagoya Math. J. 200 (2010), 93--106. doi:10.1215/00277630-2010-013. https://projecteuclid.org/euclid.nmj/1293500428