Xiao Yan Yang, Zhongkui Liu (2011)
Czechoslovak Mathematical Journal
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In this paper, we study the existence of the -flat preenvelope and the -FP-injective cover. We also characterize -coherent rings in terms of the -FP-injective and -flat modules.
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.
Santiago Zarzuela Armengou (1986)
Extracta Mathematicae
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Henrik Holm, Peter Jørgensen (2007)
Rendiconti del Seminario Matematico della Università di Padova
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Edgar E. Enochs, Overtoun M. G. Jenda, Jinzhong Xu (1993)
Rendiconti del Seminario Matematico della Università di Padova
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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.