Universal Algebra - Bergman, Clifford
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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 topics that demonstrate the power and breadth of the subject, such as Jónsson's lemma, finitely and nonfinitely based algebras, primal and quasiprimal algebras, Murski¿'s theorem, and directly representable varieties. Examples and exercises are included throughout the text.…mehr

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Produktbeschreibung
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 topics that demonstrate the power and breadth of the subject, such as Jónsson's lemma, finitely and nonfinitely based algebras, primal and quasiprimal algebras, Murski¿'s theorem, and directly representable varieties. Examples and exercises are included throughout the text.
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Autorenporträt
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.
Rezensionen
... as far as I am concerned, the book under review, by Clifford Bergman, is most welcome: we need more of this sort of thing, both for potential universal algebraists and for people like me: fellow travelers to some degree, or mathematicians who both use and thoroughly adore algebra and its structural qualities, and find themselves growing more appreciative of this architectural elegance as they evolve in their work and studies. ... it is clearly written and pleasant to read ... the author provides motivation as well as examples and exercises galore. At first glance it looks to me like the exercises are well-structured and should do the job of bringing the student or reader along at a decent pace from ignorance to both an appreciation for the subject and some facility with it. It's definitely an area worth pursuing for a graduate student with the right disposition.
-Michael Berg, MAA Reviews, December 2011

... excellently written and is highly recommended to all who are interested in universal algebra.
-Mathematical Reviews