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.
Classification : 13C11, 16D50, 16D80, 16E05, 16E10, 16E30, 16S36
Keywords: module; inverse polynomial; homological dimensions; Hom; Ext; Tor 
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     author = {Park, Sangwon},
     title = {The general structure of inverse polynomial modules},
     journal = {Czechoslovak Mathematical Journal},
     pages = {343--349},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {2001},
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     zbl = {0983.16006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_2_a8/}
}
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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/