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Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals

Ghezzi L. Department of Mathematics, New York City College of Technology-CUNY, 300 Jay Street, Brooklyn, NY 11201, United States|
Vasconcelos W.V. | Phuong T.T. Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, United States| Ozeki K. Department of Information Technology and Applied Mathematics, Ton Duc Thang University, 98 Ngo Tat To Street, Binh Thanh District, Ho Chi Minh City, Viet Nam| Hong J. Department of Mathematics, Southern Connecticut State University, 501 Crescent Street, New Haven, CT 06515-1533, United States| Goto S. Department of Mathematics, School of Science and Technology, Meiji University, 1-1-1 Higashi-mita, Tama-ku, Kawasaki 214-8571, Japan|

Journal of the London Mathematical Society Số 3, năm 2010 (Tập 81, trang 679-695)

ISSN: 246107

ISSN: 246107

DOI: 10.1112/jlms/jdq008

Tài liệu thuộc danh mục: Scopus

Article

English

Tóm tắt tiếng anh
The conjecture of Wolmer Vasconcelos on the vanishing of the first Hilbert coefficient e1(Q) is solved affirmatively, where Q is a parameter ideal in a Noetherian local ring. Basic properties of the rings for which e 1(Q) vanishes are derived. The invariance of e1(Q) for parameter ideals Q and its relationship to Buchsbaum rings are studied. � 2010 London Mathematical Society.

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