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Unmixed monomial ideals of dimension two and their Cohen-Macaulay properties

Minh N.C. Department of Mathematics, Hanoi National University of Education, Hanoi, Viet Nam|
Nakamura Y. Department of Mathematics, School of Science and Technology, Meiji University, 1-1-1 Higashi-mita, Tawa-ku, Kawasaki-shi 214-8571, Japan|

Communications in Algebra Số 5, năm 2010 (Tập 38, trang 1699-1714)

ISSN: 927872

ISSN: 927872

DOI: 10.1080/00927870902998141

Tài liệu thuộc danh mục: Scopus

Article

English

Tóm tắt tiếng anh
We study ideals of the form, where Pi,j are ideals generated by variables {x1, x2, ..., xn} \{xi, xj} in a polynomial ring over a field. We concentrate the case that each power wi,j takes a value α or β, where α > β > 0. Our purpose is determining whether S/I is Cohen-Macaulay or not for such an ideal. We take a graph consisting of {i, j} where wi,j = α. The Cohen-Macaulayness is characterized by G. © Taylor & Francis Group, LLC.

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