Homological Dimension and Cardinality

DOI10.2307/1995518zbMath0209.07101OpenAlexW4255902294MaRDI QIDQ5609487

Barbara L. Osofsky

Publication date: 1970

Full work available at URL: https://doi.org/10.2307/1995518

Mathematics Subject Classification ID

Homological dimension in associative algebras (16E10)

Related Items (19)

Tests for injectivity of modules over commutative rings ⋮ The cotorsion pair generated by the class of flat Mittag-Leffler modules ⋮ Complete homology over associative rings ⋮ FG-purity and FG-flat modules ⋮ Gorenstein dimensions of unbounded complexes and change of base (with an appendix by Driss Bennis) ⋮ Some characterizations of coherent rings in terms of strongly FP-injective modules ⋮ Stable homology over associative rings ⋮ On the Injective Hulls of Semisimple Modules ⋮ HOMOLOGY THEORIES FOR COMPLEXES BASED ON FLATS ⋮ Restricted projective, injective and flat complexes ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Projective dimension is a lattice invariant ⋮ Endoprojective dimension of modules ⋮ The cohomology of Boolean rings ⋮ Projective dimension of nice directed unions ⋮ Hochschild Dimension of a Separably Generated Field ⋮ Homology theories and Gorenstein dimensions for complexes ⋮ Homological dimension and stationary sets ⋮ The subscript of ℵ_{𝑛} ,projective dimension, and the vanishing of lim_{←}⁽ⁿ⁾

Cites Work

• Unnamed Item
• Projective modules
• Triality and Lie algebras of type \(D_4\)
• The global dimension of Boolean rings
• On the Dimension of Modules and Algebras (III): Global Dimension
• Global Dimension of Valuation Rings
• Homological Dimension and the Continuum Hypothesis
• Noninjective Cyclic Modules

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