The Möbius algebra as a Grothendieck ring

DOI10.1016/0021-8693(79)90215-1zbMath0407.18010OpenAlexW2058047309MaRDI QIDQ1257959

Kenneth Baclawski

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90215-1

zbMATH Keywords

Diagrams of ModulesGrothendieck RingMoebius AlgebraPartially Ordered SetPrincipal Ideal DomainRiemann- Roch Theorem

Mathematics Subject Classification ID

Partial orders, general (06A06) Grothendieck groups, (K)-theory, etc. (16E20) Grothendieck groups (category-theoretic aspects) (18F30)

Related Items (3)

The Kazhdan-Lusztig polynomial of a matroid ⋮ Cohen-Macaulay ordered sets ⋮ Linear representations of posets, their cohomology and a bilinear form

Cites Work

• Valuations on distributive lattices. I, II, III
• Whitney numbers of geometric lattices
• Galois connections and the Leray spectral sequence
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• A combinatorial analysis of topological dissections
• On the Möbius algebra of a partially ordered set
• La théorie des classes de Chern
• The Burnside algebra of a finite group
• Order algebras
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• Closure Operators and Galois Theory in Lattices
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