01618nam a22001937a 4500 20240205120206.0 240205b ||||| |||| 00| 0 eng d 0019-5588 Mao, Lixin Balance functors and relative tilting modules (Journal Article) New Delhi :Indian National Science Academy | Springer ,2023 1040-1055p. Indian Journal of Pure and Applied Mathematics , Volume 54: Number 4, December 2023 ***______{For Hard Copy, Please visit Library.}________*** 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. Balance functor| F-Wakamatsu tilting module| F-Wakamatsu cotilting module| n-F-tilting module| n-F-cotilting module https://doi.org/10.1007/s13226-022-00320-y PER 0 0 0 0 RIEBPL RIEBPL 2024-02-05 0 2024-02-05 00:00:00 2024-02-05 PER 45410 45409