Geodesic
The general structure of inverse polynomial modules
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 2, pp. 343-349

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In this paper we compute injective, projective and flat dimensions of inverse polynomial modules as $R[x]$-modules. We also generalize Hom and Ext functors of inverse polynomial modules to any submonoid but we show Tor functor of inverse polynomial modules can be generalized only for a symmetric submonoid.
In this paper we compute injective, projective and flat dimensions of inverse polynomial modules as $R[x]$-modules. We also generalize Hom and Ext functors of inverse polynomial modules to any submonoid but we show Tor functor of inverse polynomial modules can be generalized only for a symmetric submonoid.
Classification : 13C11, 16D50, 16D80, 16E05, 16E10, 16E30, 16S36
Keywords: module; inverse polynomial; homological dimensions; Hom; Ext; Tor 
Park, Sangwon. The general structure of inverse polynomial modules. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 2, pp. 343-349. http://geodesic.mathdoc.fr/item/CMJ_2001_51_2_a8/
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