On τ-completely decomposable modules
DOI10.1017/S0004972700035899zbMath1082.16033MaRDI QIDQ4660455
Publication date: 21 March 2005
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
hereditary torsion theoriesdirect summandscompletely decomposable modulesinjective modulesessential extensionscommutative Noetherian rings
Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Injective and flat modules and ideals in commutative rings (13C11)
Cites Work
- Injective modules over Noetherian rings
- Decomposition of injective modules relative to a torsion theory
- Direct summands of serial modules
- Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
- Direct-sum representations of injective modules
- Rings for which every module is a direct sum of cyclic modules
- A note on the decompositiosi of σ-injective modules
- Decomposition of σ-injective modules
- On Direct Sums of Injective Modules and Chain Conditions
- Modules complemented with respect to a torsion theory
- On μ-complemented and singular modules
- The smallest closed subcategory containing the μcomplemented modules
- A Torsion Theory for Abelian Categories
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