03317nam 2200661 a 450 991078593620332120230801225207.097866139407111-283-62826-010.1515/9783110269307(CKB)2670000000274155(EBL)893821(OCoLC)812066437(SSID)ssj0001114991(PQKBManifestationID)11598684(PQKBTitleCode)TC0001114991(PQKBWorkID)11061069(PQKB)10018379(MiAaPQ)EBC893821(DE-B1597)173789(OCoLC)810253717(DE-B1597)9783110269307(Au-PeEL)EBL893821(CaPaEBR)ebr10606506(CaONFJC)MIL394071(EXLCZ)99267000000027415520120518d2012 uy 0engurun#---|u||utxtccrAlgebras of multiplace functions[electronic resource] /Wieslaw A. Dudek, Valentin S. TrokhimenkoBerlin ;Boston De Gruyterc20121 online resource (400 p.)Description based upon print version of record.3-11-026930-9 3-11-026928-7 Includes bibliographical references and indexes.Front matter --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 --IndexThis 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.AlgebraIterative Algebra.Menger Algebra.Multiplace Function.Positional Algebra.Algebra.512SK 200rvkDudek Wieslaw A1121051Trokhimenko Valentin S1494586MiAaPQMiAaPQMiAaPQBOOK9910785936203321Algebras of multiplace functions3718166UNINA