TY - JOUR AU1 - Trlifaj, Jan AB - AbstractBaer’s Criterion for Injectivity is a useful tool of the theory of modules.Its dual version (DBC) is known to hold for all right perfect rings, but its validity for the non-right perfect ones is a complex problem (first formulated by C. Faith[Algebra. II. Ring Theory,Springer, Berlin, 1976]).Recently, it has turned out that there are two classes of non-right perfect rings:(1) those for which DBC fails in ZFC, and(2) those for which DBC is independent of ZFC.First examples of rings in the latter class were constructed in[J. Trlifaj,Faith’s problem on R-projectivity is undecidable,Proc. Amer. Math. Soc. 147 2019, 2, 497–504];here, we show that this class contains all small semiartinian von Neumann regular rings with primitive factors artinian. TI - The Dual Baer Criterion for non-perfect rings JF - Forum Mathematicum DO - 10.1515/forum-2019-0028 DA - 2020-05-01 UR - https://www.deepdyve.com/lp/de-gruyter/the-dual-baer-criterion-for-non-perfect-rings-ub9K05I5Lc SP - 663 EP - 672 VL - 32 IS - 3 DP - DeepDyve ER -