48 citations · 137 across the 31 of their papers we have counts for
10 papers · 1 filter
Multiplicative bases and commutative semiartinian von Neumann regular algebras
Kateřina Fuková, Jan Trlifaj
Let be a semiartinian (von Neumann) regular ring with primitive factors artinian. The dimension sequence is an invariant that captures the various skew-fields a…
Weak diamond, weak projectivity, and transfinite extensions of simple artinian rings
Jan Trlifaj
We apply set-theoretic methods to study projective modules and their generalizations over transfinite extensions of simple artinian rings R. We prove that if R is small, then the W…
Weak diamond, weak projectivity, and transfinite extensions of simple artinian rings
Jan Trlifaj
We apply set-theoretic methods to study projective modules and their generalizations over transfinite extensions of simple artinian rings R. When R is hereditary and of cardinality…
Closure properties of
Leonid Positselski, Pavel Prihoda, Jan Trlifaj
Let be a class of modules and the class of all direct limits of modules from . The class is well understo…
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…
Faith's problem on R-projectivity is undecidable
Jan Trlifaj
In \cite{F}, Faith asked for what rings does the Dual Baer Criterion hold in Mod-, that is, when does -projectivity imply projectivity for all right -modules? Such rin…