Abstract
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.
Citation
Shiro Goto. Jun Horiuchi. Hideto Sakurai. "Quasi-socle ideals in Buchsbaum rings." Nagoya Math. J. 200 93 - 106, December 2010. https://doi.org/10.1215/00277630-2010-013
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