Representation theory of finite semigroups over semirings.

DOI10.1016/j.jalgebra.2011.02.048zbMath1260.20084arXiv1004.1660OpenAlexW2963815443MaRDI QIDQ657946

Zur Izhakian, Benjamin Steinberg, John L. Rhodes

Publication date: 11 January 2012

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

Full work available at URL: https://arxiv.org/abs/1004.1660

zbMATH Keywords

charactersirreducible representationssimple representationsminimal representationscommutative semiringsrepresentations of finite semigroups

Mathematics Subject Classification ID

Semirings (16Y60) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items

Semigroups of rectangular matrices under a sandwich operation ⋮ On the complexity of inverse semigroup conjugacy ⋮ On the Jacobson radical of an \((m,n)\)-semiring. ⋮ Idempotent elements of the endomorphism semiring of a finite chain. ⋮ Nondeterministic syntactic complexity ⋮ On Radicals of Semirings and Related Problems ⋮ Semigroup identities of supertropical matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The quiver of an algebra associated to the Mantaci-Reutenauer descent algebra and the homology of regular semigroups.
• Fun with \(\mathbb F_1\)
• Polynomial representations of \(GL_n\)
• Finite binary relations have no more complexity than finite functions
• Supertropical algebra
• Monoids, acts and categories. With applications to wreath products and graphs. A handbook for students and researchers
• Maximal subgroups of the semigroup of relations
• Groups of binary relations
• A proof of the Montague-Plemmons-Schein theorem on maximal subgroups of the semigroup of binary relations
• Characters of finite semigroups
• The Schützenberger group of an H-class in the semigroup of binary relations
• On the structure of semigroups
• Basic Representations of Completely Simple Semigroups
• On the definition of a family of automata
• CLASSIFICATION OF FINITE CONGRUENCE-SIMPLE SEMIRINGS WITH ZERO
• Representation theory of finite semigroups, semigroup radicals and formal language theory
• On the irreducible representations of a finite semigroup
• Note on a simple type of algebra in which the cancellation law of addition does not hold
• Characters and complexity of finite semigroups
• Irreducible Matrix Representations of Finite Semigroups
• Every semigroup is isomorphic to a transitive semigroup of binary relations
• Matrix Representations of Completely Simple Semigroups
• Tropical algebraic geometry
• Tropical algebraic geometry

This page was built for publication: Representation theory of finite semigroups over semirings.