[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2015.52.2.531

AN INDEPENDENT RESULT FOR ATTACHED PRIMES OF CERTAIN TOR-MODULES

Khanh, Pham Huu (Department of mathematics Tay Nguyen University)

Publication Information

Bulletin of the Korean Mathematical Society / v.52, no.2, 2015 , pp. 531-540 More about this Journal

Abstract

Let (R, m) be a Noetherian local ring, I an ideal of R, and A an Artinian R-module. Let $k{\geq}0$ be an integer and $$r=Width_{$ $&$ $gt;k}(I,A)$$ the supremum of length of A-cosequence in dimension > k in I defined by Nhan-Hoang [8]. It is shown that for all $t{\leq}r$ the sets $(\bigcup_{i=0}^{t}Att_R(Tor_i^R(R/I^n,A)))_{{\geq}k}\;and\\(\bigcup_{i=0}^{t}Att_R(Tor_i^R(R/(a_1^{n_1},{\cdots},a_l^{n_l}),A)))_{{\geq}k}$ are independent of the choice of $n,n_1,{\cdots},n_l$ for any system of generators ( $a_1,{\cdots},a_l$ ) of I.

Keywords

asymptotic stability; attached prime; Tor-module; A-cosequence in dimension > k; width in dimension > k;

Citations & Related Records

Reference

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