Torsionfree projective modules
Torsionfree projective modules
In this paper, the following condition for a torsion theory in the sense of S. E. Dickson is examined: (<inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper P"> <mml:semantics> <mml:mtext>P</mml:mtext> <mml:annotation encoding="application/x-tex">\text {P}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>) Every nonzero torsionfree module contains a nonzero projective submodule. A special relationship between condition (<inline-formula content-type="math/mathml"> <mml:math …