k-Torsionfree Modules with Respect to Cotilting Modules
Received:December 07, 2006  Revised:October 30, 2007
Key Word: cotilting bimodules   $\omega$-$k$-torsionfree modules.  
Fund ProjectL:
Author NameAffiliation
ZHAO Zhi Bing School of Mathematics and Computational Science, Anhui University, Anhui 230039, China 
DU Xian Neng School of Mathematics and Computational Science, Anhui University, Anhui 230039, China 
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Abstract:
      Let $\Lambda$ and $\Gamma$ be left and right Noetherian rings and $_\Lambda \omega_\Gamma$ a cotilting bimodule. A necessary and sufficient condition for a finitely generated $\Lambda$-module to be $\omega$-$k$-torsionfree is given and the extension closure of $T_\omega^i$ is discussed. As applications, we give some results of $_\Lambda \omega_\Gamma$ related to $l.{\rm id}(\omega)\leq k$.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.01.023
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