The isomorphism problem for incidence algebras of Möbius categories

zbMath0487.18008MaRDI QIDQ1165307

Pierre Leroux

Publication date: 1982

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Möbius inversionincidence algebrasfree categoriesMöbius categorieslocally finite partially ordered setsLagrange inversion problem

Mathematics Subject Classification ID

Partial orders, general (06A06) Preorders, orders, domains and lattices (viewed as categories) (18B35) Definitions and generalizations in theory of categories (18A05)

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The mathematical life of Pierre Leroux, Decomposition spaces, incidence algebras and Möbius inversion. I: Basic theory, Decomposition spaces, incidence algebras and Möbius inversion. II: Completeness, length filtration, and finiteness, Incidence algebras and coalgebras of decomposition structures, The theory of compositionals