Xiao Yan Yang, Zhong Kui Liu (2010)
Czechoslovak Mathematical Journal
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By analogy with the projective, injective and flat modules, in this paper we study some properties of -Gorenstein projective, injective and flat modules and discuss some connections between -Gorenstein injective and -Gorenstein flat modules. We also investigate some connections between -Gorenstein projective, injective and flat modules of change of rings.
Robert Fossum, Hans-Bjorn Foxby, Phillip Griffith, Idun Reiten (1975)
Publications Mathématiques de l'IHÉS
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Sangwon Park (2001)
Czechoslovak Mathematical Journal
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In this paper we compute injective, projective and flat dimensions of inverse polynomial modules as -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.
Enochs, Edgar E., Jenda, Overtoun M.G., López-Ramos, J.A. (2005)
International Journal of Mathematics and Mathematical Sciences
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Robert M. Fossum (1974-1975)
Séminaire Dubreil. Algèbre et théorie des nombres
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Edgar E. Enochs, Overtoun M. G. Jenda, Luis Oyonarte (2001)
Rendiconti del Seminario Matematico della Università di Padova
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Xiao Guang Yan, Xiao Sheng Zhu (2011)
Czechoslovak Mathematical Journal
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Let be a commutative ring and a semidualizing -module. We investigate the relations between -flat modules and -FP-injective modules and use these modules and their character modules to characterize some rings, including artinian, noetherian and coherent rings.