Hyperidentities and Clones

Hyperidentities and Clones
Author: Klaus Denecke
Publisher: CRC Press
Total Pages: 334
Release: 2000-08-08
Genre: Mathematics
ISBN: 9789056992354

Theories and results on hyperidentities have been published in various areas of the literature over the last 18 years. Hyperidentities and Clones integrates these into a coherent framework for the first time. The author also includes some applications of hyperidentities to the functional completeness problem in multiple-valued logic and extends the general theory to partial algebras. The last chapter contains exercises and open problems with suggestions for future work in this area of research. Graduate students and mathematical researchers will find Hyperidentities and Clones a thought-provoking and illuminating text that offers a unique opportunity to study the topic in one source.

M-Solid Varieties of Algebras

M-Solid Varieties of Algebras
Author: Jörg Koppitz
Publisher: Springer Science & Business Media
Total Pages: 349
Release: 2006-06-18
Genre: Mathematics
ISBN: 0387308067

A complete and systematic introduction to the fundamentals of the hyperequational theory of universal algebra, offering the newest results on solid varieties of semirings and semigroups. The book aims to develop the theory of solid varieties as a system of mathematical discourse that is applicable in several concrete situations. A unique feature of this book is the use of Galois connections to integrate different topics.

Algebraic Informatics

Algebraic Informatics
Author: Franz Winkler
Publisher: Springer Science & Business Media
Total Pages: 270
Release: 2011-06-16
Genre: Computers
ISBN: 3642214924

This book constitutes the refereed proceedings of the 4th International Conference on Algebraic Informatics, CAI 2011, held in Linz, Austria, in June 2011. The 12 revised full papers presented together with 4 invited articles were carefully reviewed and selected from numerous submissions. The papers cover topics such as algebraic semantics on graph and trees, formal power series, syntactic objects, algebraic picture processing, finite and infinite computations, acceptors and transducers for strings, trees, graphs arrays, etc. decision problems, algebraic characterization of logical theories, process algebra, algebraic algorithms, algebraic coding theory, and algebraic aspects of cryptography.