Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A note on quasi-Buchsbaum rings


Author: Shiro Goto
Journal: Proc. Amer. Math. Soc. 90 (1984), 511-516
MSC: Primary 13H10; Secondary 13D03, 14B15
DOI: https://doi.org/10.1090/S0002-9939-1984-0733397-4
MathSciNet review: 733397
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper the ubiquity of non-Buchsbaum but quasi-Buchsbaum rings is established. The result is stated as follows: Let $d \ge 3$ and ${h_1},{h_2}, \ldots ,{h_{d - 1}} \ge 0$ be integers and assume that at least two of ${h_i}$’s are positive. Then there exists a non-Buchsbaum but quasi-Buchsbaum local integral domain $A$ of $\dim A = d$ and such that ${l_A}(H_m^i(A)) = {h_i}$ for all $1 \le i \le d - 1$. Moreover if ${h_1} = 0$ the ring $A$ can be chosen to be normal.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 13H10, 13D03, 14B15

Retrieve articles in all journals with MSC: 13H10, 13D03, 14B15


Additional Information

Keywords: Buchsbaum rings and modules, quasi-Buchsbaum rings and modules, local cohomology
Article copyright: © Copyright 1984 American Mathematical Society