Weak diamond, weak projectivity, and transfinite extensions of simple artinian rings
Rings and Algebras
2022-05-27 v1 Logic
Representation Theory
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.
Keywords
Cite
@article{arxiv.2203.06005,
title = {Weak diamond, weak projectivity, and transfinite extensions of simple artinian rings},
author = {Jan Trlifaj},
journal= {arXiv preprint arXiv:2203.06005},
year = {2022}
}
Comments
Revised version for J. Algebra, 11 pages. arXiv admin note: substantial text overlap with arXiv:2112.09643