Posets of cohomological dimension one with finitely many tails

DOI10.1016/0021-8693(82)90260-5zbMath0489.06002OpenAlexW2055925111MaRDI QIDQ1166547

Barry Mitchell, Charles Ching-An Cheng

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90260-5

zbMATH Keywords

projective dimensioncohomological dimensionposetstailsretractcategory of posets

Mathematics Subject Classification ID

Partial orders, general (06A06) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Homological dimension (category-theoretic aspects) (18G20) Categories and theories (18C99)

Related Items

On the Hochschild-Mitchell dimension of ordered sets, The Hochschild-Mitchell dimension of the set of reals is equal to 3, DCC categories of cohomological dimension one

Cites Work

• DCC posets of cohomological dimension one
• Projective diagrams over partially ordered sets are free
• A remark on projectives in functor categories
• Finite partially ordered sets of cohomological dimension one
• Rings with several objects
• Deltas of Hochschild Dimension One
• The Cohomological Dimension of a Directed Set
• Note on the Projective Limit on Small Categories