The algebra of essential relations on a finite set.

DOI10.1515/crelle-2014-0019zbMath1339.20062arXiv1310.7695OpenAlexW2016202567MaRDI QIDQ256959

Serge Bouc, Jacques Thévenaz

Publication date: 14 March 2016

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7695

zbMATH Keywords

nilpotent idealspartial ordersmonoid algebrascorrespondencesessential relationsmonoids of relations

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Semigroup rings, multiplicative semigroups of rings (20M25) Frobenius induction, Burnside and representation rings (19A22) Relational systems, laws of composition (08A02) Categories of sets, characterizations (18B05)

Related Items (12)

Correspondence functors and lattices ⋮ Idempotents of double Burnside algebras, \(L\)-enriched bisets, and decomposition of \(p\)-biset functors ⋮ Categories of dimension zero ⋮ Tensor product of correspondence functors ⋮ Correspondence functors and finiteness conditions ⋮ Around evaluations of biset functors ⋮ On the essential algebra of the shifted Burnside biset functor ⋮ The algebra of Boolean matrices, correspondence functors, and simplicity ⋮ Ehresmann theory and partition monoids ⋮ Representations of finite sets and correspondences ⋮ Simple and projective correspondence functors ⋮ Correspondence functors and duality

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