The q-theory of Finite Semigroups

Discoveries in finite semigroups have influenced several mathematical fields, including theoretical computer science, tropical algebra via matrix theory with coefficients in semirings, and other areas of modern algebra. This comprehensive, encyclopedic text will provide the reader - from the graduat...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Rhodes, John (Autor), Steinberg, Benjamin (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer US : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Springer Monographs in Mathematics,
Temas:
Group theory.
Algebra.
Universal algebra.
Machine theory.
Group Theory and Generalizations.
Order, Lattices, Ordered Algebraic Structures.
General Algebraic Systems.
Formal Languages and Automata Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • I The q operator and Pseudovarieties of Relational Morphisms
  • Foundations for Finite Semigroup Theory
  • The q-operator
  • The Equational Theory
  • II Complexity in Finite Semigroup Theory
  • The Complexity of Finite Semigroups
  • Two-Sided Complexity and the Complexity of Operators
  • III The Algebraic Lattice of Semigroup Pseudovarieties
  • Algebraic Lattices, Continuous Lattices and Closure Operators
  • The Abstract Spectral Theory of PV
  • IV Quantales Idempotent Semirings Matrix Algebras and the Triangular Product
  • Quantales
  • The Triangular Product and Decomposition Results for Semirings.

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