جبرها، شبکه‌ها، گونه‌ها (پژوهش‌ها و مونوگراف‌های ریاضی، ۲۶۹) جلد سوم

This book is the third of a three-volume set of books on the theory of algebras, a study that provides a consistent framework for understanding algebraic systems, including groups, rings, modules, semigroups and lattices. Volume I, first published in the 1980s, built the foundations of the theory and is considered to be a classic in this field. The long-awaited volumes II and III are now available. Taken together, the three volumes provide a comprehensive picture of the state of art in general algebra today, and serve as a valuable resource for anyone working in the general theory of algebraic systems or in related fields. The two new volumes are arranged around six themes first introduced in Volume I. Volume II covers the Classification of Varieties, Equational Logic, and Rudiments of Model Theory, and Volume III covers Finite Algebras and their Clones, Abstract Clone Theory, and the Commutator. These topics are presented in six chapters with independent expositions, but are linked by themes and motifs that run through all three volumes. Presents the foundations of a general theory of algebras. Often called "universal algebra", this theory provides a common framework for all algebraic systems, including groups, rings, modules, fields, and lattices. Each chapter is filled with useful illustrations and exercises that solidify the reader's understanding. This book discusses the general theory of algebras and the closely related subject of lattice theory. With virtually all proofs included, chapters 1-3 can serve as a text for an undergraduate honours course in abstract algebra.