[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2005.20.2.275

THE MINIMAL FREE RESOLUTION OF CERTAIN DETERMINANTAL IDEA

CHOI, EUN-J. (Department of Mathematics Yonsei University)
KIM, YOUNG-H. (Department of Mathematics Yonsei University)
KO, HYOUNG-J. (Department of Mathematics Yonsei University)
WON, SEOUNG-J. (Department of Mathematics Yonsei University)

Publication Information

Communications of the Korean Mathematical Society / v.20, no.2, 2005 , pp. 275-290 More about this Journal

Abstract

Let $S\;=\;R[\chi_{ij}\mid1\;{\le}\;i\;{\le}\;m,\;1\;{\le}\;j\;{\le}\;n]$ be the polynomial ring over a noetherian commutative ring R and $I_p$ be the determinantal ideal generated by the $p\;\times\;p$ minors of the generic matrix $(\chi_{ij})(1{\le}P{\le}min(m,n))$ . We describe a minimal free resolution of $S/I_{p}$ , in the case m = n = p + 2 over $\mathbb{Z}$ .

Keywords

determinantal ideal; minimal free resolution;

Citations & Related Records

Reference

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