When flat covers of pure-injective modules are pure-injective

Philipp Rothmaler

 Wesleyan University, Middletown, CT
 

Abstract: In the light of the recently confirmed flat cover conjecture
the question of what properties are preserved by taking flat covers
appears as very natural. An instance of this is the situation given in the
title, which I will prove to take place exactly when, dually,
pure-injective envelopes of flat modules are flat (a situation that has
previously caught the attention of model theorists).