FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 2, PAGES 599-606
M. A. Turmanov
Abstract
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Pure submodules of an Abelian group as modules over its endomorphism
ring are studied. In the first section of the paper the endopure
submodules of a quasi-decomposable torsion free Abelian group of
rank 3 are described. In the second section we prove that pure
injectivity of an Abelian group over its endomorphism ring is equivalent
to its algebraic compactness. This result is generalized for
unitary modules over associative rings with unity.
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