Castelnuovo-Mumford regularity and projective dimension of a squarefree monomial ideal |
| |
Authors: | Lizhong Chu Shisen Liu Zhongming Tang |
| |
Institution: | Department of Mathematics, Soochow University, Suzhou 215006, China |
| |
Abstract: | Let S = Kx1; x2;...; xn] be the polynomial ring in n variables over a field K; and let I be a squarefree monomial ideal minimally generated by the monomials u1; u2;...; um: Let w be the smallest number t with the property that for all integers 1 6 i1 < i2 <... < i t 6 m such that \(lcm({u_{{i_1}}},{u_{{i_2}}},...,{u_{{i_t}}}) = lcm({u_1},{u_2},...,{u_m})\) We give an upper bound for Castelnuovo-Mumford regularity of I by the bigsize of I: As a corollary, the projective dimension of I is bounded by the number w. |
| |
Keywords: | Castelnuovo-Mumford regularity projective dimension squarefree monomial ideals |
本文献已被 SpringerLink 等数据库收录! |
| 点击此处可从《Frontiers of Mathematics in China》浏览原始摘要信息 |
| 点击此处可从《Frontiers of Mathematics in China》下载免费的PDF全文 |