3 papers
math.RA2019
Test sets for factorization properties of modules
Jan Šaroch, Jan Trlifaj
Baer's Criterion of injectivity implies that injectivity of a module is a factorization property w.r.t. a single monomorphism. Using the notion of a cotorsion pair, we study genera…
math.LO2018
On the nontrivial solvability of systems of homogeneous linear equations over in ZFC
Jan Šaroch
Following a recent paper by Herrlich and Tachtsis, we investigate in ZFC the following compactness question: for which unountable cardinals , an arbitrary nonempty system of…
math.RT2015
On the non-existence of right almost split maps
Jan Šaroch
We show that, over any ring, a module is a codomain of a right almost split map if and only if is a finitely presented module with local endomorphism ring; thus we give an…