Automata And Algebras In Categories


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Automata and Algebras in Categories


Automata and Algebras in Categories

Author: Jirí Adámek

language: en

Publisher: Springer Science & Business Media

Release Date: 1990-08-31


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Monograph( based very largely upon results original to the Czechoslovakian authors) presents an abstract account of the theory of automata for sophisticated readers presumed to be already conversant in the language of category theory. The seven chapters are punctuated at frequent intervals by exampl

Graph Algebras and Automata


Graph Algebras and Automata

Author: Andrei Kelarev

language: en

Publisher: CRC Press

Release Date: 2003-07-08


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Graph algebras possess the capacity to relate fundamental concepts of computer science, combinatorics, graph theory, operations research, and universal algebra. They are used to identify nontrivial connections across notions, expose conceptual properties, and mediate the application of methods from one area toward questions of the other four. After a concentrated review of the prerequisite mathematical background, Graph Algebras and Automata defines graph algebras and reveals their applicability to automata theory. It proceeds to explore assorted monoids, semigroups, rings, codes, and other algebraic structures and to outline theorems and algorithms for finite state automata and grammars.

Semigroups, Categories, and Partial Algebras


Semigroups, Categories, and Partial Algebras

Author: P. G. Romeo

language: en

Publisher: Springer Nature

Release Date: 2021-03-26


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This book is a collection of selected papers presented at the International Conference on Semigroups and Applications, held at the Cochin University of Science and Technology, India, from December 9–12, 2019. This book discusses the recent developments in semigroups theory, category theory and the applications of these in various areas of research, including structure theory of semigroups, lattices, rings and partial algebras. This book presents chapters on ordering orders and quotient rings, block groups and Hall’s relations, quotients of the Booleanization of inverse semigroup, Markov chains through semigroup graph expansions, polycyclic inverse monoids and Thompson group, balanced category and bundle category. This book will be of much value to researchers working in areas of semigroup and operator theory.