Mao, Lixin  <br/><br/>
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 .
<br/><br/>***______________***<br/><br/><br/> 
<br/><br/> Abstract: Let \mathfrak  and \mathfrak  be two classes of left R-modules, l_}\mathfrak  = the class of all left R-modules admitting exact left \mathfrak -resolutions which are \mathrm(-,\mathfrak )-exact, r_}\mathfrak  = the class of all left R-modules admitting exact right \mathfrak -resolutions which are \mathrm(\mathfrak ,-)-exact. We first study some properties of l_}\mathfrak  and r_}\mathfrak . 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^(-,-). Some classical results are extended. 
<br/><br/><label>ISSN: </label>0019-5588 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Balance functor| F-Wakamatsu tilting module| F-Wakamatsu cotilting module| n-F-tilting module| n-F-cotilting module