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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.RA2019
Pure semisimplicity conjecture and Artin problem for dimension sequences
Jan Šaroch
Inspired by a recent paper due to José Luis García, we revisit the attempt of Daniel Simson to construct a counterexample to the pure semisimplicity conjecture. Using compactness,…