单Artin环的弱金刚石、弱投射性和超限扩张
Weak diamond, weak projectivity, and transfinite extensions of simple artinian rings
摘要：
本文应用集合论的方法研究了单Artin环R的超限扩张上的投射模及其推广。当R是遗传的且基数至多为$2^ω$时，我们证明了弱Diamond和CH意味着任意模的投射性可以在R的层满态上检验.
英文摘要：
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 at most $2^ω$, we prove that the Weak Diamond and CH imply that projectivity of an arbitrary module can be tested at the layer epimorphisms of R.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
