Weak diamond, weak projectivity, and transfinite extensions of simple artinian rings
arXiv:2203.06005 · doi:10.1016/j.jalgebra.2022.03.009
Abstract
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 Weak Diamond implies that projectivity of an arbitrary module can be tested at the layer epimorphisms of R.
Revised version for J. Algebra, 11 pages. arXiv admin note: substantial text overlap with arXiv:2112.09643