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Divisibility of Direct Sums in Torsion Theories
Published online by Cambridge University Press: 20 November 2018
Extract
Given a hereditary torsion theory on the category Mod R of right R-modules we obtain in this paper necessary and sufficient conditions for the direct sum
of a given family
of R-modules to be divisible for the torsion theory
. Using this criterion we show that if
is a family of R-modules having the property that
is divisible for every countable subset K ol J then
is itself divisible.
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- Copyright © Canadian Mathematical Society 1976
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