Finite partially ordered sets of cohomological dimension one

DOI10.1016/0021-8693(76)90198-8zbMath0337.18008OpenAlexW2072085568MaRDI QIDQ1229946

Charles Ching-An Cheng

Publication date: 1976

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90198-8

Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20) Special categories (18B99)

Related Items (7)

The diagonal of a pointed coalgebra and incidence-like structure ⋮ On the global dimension of the category of commutative diagrams in an abelian category ⋮ Posets of cohomological dimension one with finitely many tails ⋮ Categories of fractions preserve dimension one ⋮ Some applications of module theory to functor categories ⋮ DCC posets of cohomological dimension one ⋮ Equivariant dimensions of groups with operators

Cites Work

• On the difference between cohomological dimension and homological dimension
• On the dimension of objects and categories. I: Monoids
• On the dimension of objects and categories. II: Finite ordered sets
• Rings with several objects
• On torsion-free groups with infinitely many ends
• The Cohomological Dimension of a Directed Set
• Note on the Projective Limit on Small Categories
• Groups of cohomological dimension one

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