A new algorithm for computing idempotents of ℛ-trivial monoids

DOI10.1142/S0219498821502273MaRDI QIDQ5024531

Eddie Nijholt, Sören Niklas Schwenker, Bob Rink

Publication date: 26 January 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02844

zbMATH Keywords

representation theorymonoidsprimitive orthogonal idempotentsfeedforward networks

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Ordinary and skew polynomial rings and semigroup rings (16S36) Semigroup rings, multiplicative semigroups of rings (20M25)

Cites Work

• Representation theory of finite monoids
• Primitive orthogonal idempotents for \(R\)-trivial monoids.
• Graph fibrations and symmetries of network dynamics
• Amplified Hopf Bifurcations in Feed-Forward Networks
• Projection blocks in homogeneous coupled cell networks
• Center Manifolds of Coupled Cell Networks
• Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems
• Coupled cell networks: Semigroups, Lie algebras and normal forms
• Coupled Cell Networks and Their Hidden Symmetries

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