k-Torsionfree Modules with Respect to Cotilting Modules |
Received:December 07, 2006 Revised:October 30, 2007 |
Key Words:
cotilting bimodules $\omega$-$k$-torsionfree modules.
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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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