Dimension theory for nonsingular injective modules

DOI10.1090/memo/0177zbMath0335.16024OpenAlexW2016620363MaRDI QIDQ4102003

Ann K. Boyle, Kenneth R. Goodearl

Publication date: 1976

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0177

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) 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) Localization and associative Noetherian rings (16P50) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (23)

On \(\aleph _ 0\)-injective regular rings ⋮ Semihereditary and fully idempotent fpf rings ⋮ Unnamed Item ⋮ Relative injectivity and pure-injective modules over Prüfer rings ⋮ Topologically semisimple and topologically perfect topological rings ⋮ A general theory of types for nonsingular injective modules ⋮ Module types ⋮ Some aspects about the lattice [τ _g ,χ and the torsion theories of Kaplansky-type] ⋮ Torsion free modules ⋮ Direct sum properties of quasi-injective modules ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Rank functions and \(K_0\) of regular rings ⋮ Completions of regular rings ⋮ Maximal quotient rings of prime nonsingular group algebras ⋮ Module classifying functors ⋮ Two-sided ideals in right self-injective regular rings ⋮ Some model theory over hereditary Noetherian domains ⋮ Pseudo-rank functions on certain lattices ⋮ On injective and quasi-continuous modules ⋮ Type submodules and direct sum decompositions of modules. ⋮ Decomposing modules into direct sums of submodules with types ⋮ Spectral categories and varieties of preadditive categories ⋮ Modules

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