On τ-completely decomposable modules
2004 ◽
Vol 70
(1)
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pp. 163-175
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Keyword(s):
For a hereditary torsion theory τ, a moduleAis called τ-completedly decomposable if it is a direct sum of modules that are the τ-injective hull of each of their non-zero submodules. We give a positive answer in several cases to the following generalised Matlis' problem: Is every direct summand of a τ-completely decomposable module still τ-completely decomposable? Secondly, for a commutative Noetherian ringRthat is not a domain, we determine those torsion theories with the property that every τ-injective module is an essential extension of a (τ-injective) τ-completely decomposable module.
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1984 ◽
Vol 25
(2)
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pp. 219-227
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Keyword(s):
1995 ◽
Vol 52
(1)
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pp. 107-116
1976 ◽
Vol 19
(1)
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pp. 1-6
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2017 ◽
Vol 10
(03)
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pp. 1750049
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2003 ◽
Vol 40
(1-2)
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pp. 33-40
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1972 ◽
Vol 7
(3)
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pp. 387-389
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1995 ◽
Vol 58
(3)
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pp. 287-297
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