Algebras of Multiplace Functions / / Wieslaw A. Dudek, Valentin S. Trokhimenko.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• VerfasserIn: Dudek, Wieslaw A.,; Trokhimenko, Valentin S.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2012]; ©2012
• Year of Publication: 2012
• Language: English
• Physical Description: 1 online resource (389 p.)
• Other title: Frontmatter --; Preface --; Contents --; Chapter 1. Main concepts --; Chapter 2. Menger algebras of functions --; Chapter 3. Ordered Menger algebras --; Chapter 4. Relations between functions --; Chapter 5. (2, n)-semigroups of functions --; Chapter 6. Systems of multiplace functions --; Chapter 7. Open problems --; Bibliography --; Index of notations --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110269307; 9783110238570; 9783110238471; 9783110637205; 9783110288995; 9783110293722; 9783110288926
• DOI: 10.1515/9783110269307
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Wieslaw A. Dudek, Valentin S. Trokhimenko.

This monograph is devoted to various types of algebras of functions with n variables. It is the first complete monograph (in English) on this topic, covering mainly the Russian literature. It is addressed to all algebraists working in the area of universal algebras, semigroup theory, etc. It is also a useful source of information for graduate and PhD students who are starting their research in this area. The book is the first monograph in the English mathematical literature which provides readers with a very systematical study of the notion of Menger algebras, and its generalizations and applications. The results presented here were originally published mostly in the Russian literature: In 2006, the first version of this book was edited in Russian and it is now presented in an extended version, where two new and very important chapters are added. The monograph is a broad survey of unknown or little-known Russian literature on algebras of multiplace functions and presents to the mathematical community a beautiful and strongly developing theory.