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.
Basic Concepts. Hyperidentities and Hypervarieties. Hyperidentities for Varieties of Semigroups. M-Hyperidentities and M-Solid Varieties. M-Solid Varieties of Semigroups. Describing Clones by Hyperidentities. Hyperidentities in Partial Algebras. Exercises and Problems.