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- W2128820396 abstract "Let R be an associative ring with identity. An (left) R-module M is said to be torsion if for every m ∈ M, there exists a nonzero r ∈ R such that rm = 0, and faithful provided rM = {0} implies r = 0 (r ∈ R). We call R (left) FT if R admits a nontrivial (left) faithful torsion module. In this paper, we continue the study of FT rings initiated in Oman and Schwiebert [Rings which admit faithful torsion modules, to appear in Commun. Algebra]. After presenting several examples, we consider the FT property within several well-studied classes of rings. In particular, we examine direct products of rings, Brown–McCoy semisimple rings, serial rings, and left nonsingular rings. Finally, we close the paper with a list of open problems." @default.
- W2128820396 created "2016-06-24" @default.
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- W2128820396 date "2012-05-24" @default.
- W2128820396 modified "2023-10-09" @default.
- W2128820396 title "RINGS WHICH ADMIT FAITHFUL TORSION MODULES II" @default.
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- W2128820396 doi "https://doi.org/10.1142/s0219498811005828" @default.
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