“…) when there exists an exact sequence 0 -* X -> Y -> Z, with Y and Z isomorphic to direct products of copies of X. The ring R is said to be left QF-3" (see [1]) when each finitely generated submodule of E(RR) is torsionless.…”
We characterise reflexive modules over the rings R such that each finitely generated submodule of E(RR) is torsionless (left QF-3″ rings) by means of a suitable linear compactness condition relative to the Lambek torsion theory.
“…) when there exists an exact sequence 0 -* X -> Y -> Z, with Y and Z isomorphic to direct products of copies of X. The ring R is said to be left QF-3" (see [1]) when each finitely generated submodule of E(RR) is torsionless.…”
We characterise reflexive modules over the rings R such that each finitely generated submodule of E(RR) is torsionless (left QF-3″ rings) by means of a suitable linear compactness condition relative to the Lambek torsion theory.
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