Abstract
Now recall some definition. The concept of Buchsbaum rings was given by Stiickrad and Vogel (cf. 114, 151) and has its root in an answer of Vogel [ 19 1 to a problem of Buchsbaum (cf. [2, p. 2281). Let A be a Noetherian local ring with maximal ideal m. Then A is called Buchsbaum if the difference I,(A,/q) e,(q) is an invariant Z(A) of A not depending on the particular choice of a parameter ideal 4 of A, where e,(q) denotes the multiplicity of A rclativc to q. Clearly the class of Buchsbaum local rings contains Cohen-Macaulay local rings, and it is known that they enjoy many good properties. For example, the local cohomology modules &(A) (0 < i < d = dim A) of a Buchsbaum local ring A are vector spaces over A/m and
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
