Mao, Lixin creator text New Delhi :Indian National Science Academy | Springer ,2023 monographic eng

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1040-1055p. Abstract: Let \mathfrak {C} and \mathfrak {D} be two classes of left R-modules, l_{\mathfrak {D}}\mathfrak {C} = the class of all left R-modules admitting exact left \mathfrak {C}-resolutions which are \mathrm{Hom}(-,\mathfrak {D})-exact, r_{\mathfrak {C}}\mathfrak {D} = the class of all left R-modules admitting exact right \mathfrak {D}-resolutions which are \mathrm{Hom}(\mathfrak {C},-)-exact. We first study some properties of l_{\mathfrak {D}}\mathfrak {C} and r_{\mathfrak {C}}\mathfrak {D}. Then, using the Hom balance functor determined by the above two special classes of modules, we introduce and investigate F-(Wakamatsu) tilting and F-(Wakamatsu) cotilting modules which are possibly infinitely generated over arbitrary rings for an additive subfunctor F of \mathrm{Ext}^{1}(-,-). Some classical results are extended. ***______{For Hard Copy, Please visit Library.}________*** Balance functor| F-Wakamatsu tilting module| F-Wakamatsu cotilting module| n-F-tilting module| n-F-cotilting module 0019-5588 https://doi.org/10.1007/s13226-022-00320-y https://doi.org/10.1007/s13226-022-00320-y 240205 20240205120206.0