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Keywords:
module; inverse polynomial; homological dimensions; Hom; Ext; Tor
module; inverse polynomial; homological dimensions; Hom; Ext; Tor
Summary:
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.
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