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- W2079892880 abstract "For a hereditary torsion theory τ, a module A is 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 ring R that 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." @default.
- W2079892880 created "2016-06-24" @default.
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- W2079892880 date "2004-08-01" @default.
- W2079892880 modified "2023-09-24" @default.
- W2079892880 title "On τ-completely decomposable modules" @default.
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- W2079892880 doi "https://doi.org/10.1017/s0004972700035899" @default.
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