Universal Algebra: Fundamentals and Selected Topics

Starting with the most basic notions, this text introduces all the key elements needed to read and understand current research in the field. The first part of the book focuses on core components, including subalgebras, congruences, lattices, direct and subdirect products, isomorphism theorems, clones, and free algebras. The second part covers to

Clifford Bergman is the Janson Professor of Mathematics at Iowa State University, where he has taught since 1982. He teaches both undergraduate and graduate courses in algebra and cryptography. Dr. Bergman’s research centers on classical questions in universal algebra, computational complexity, cryptology, and steganography.