LEADER 03317nam 2200661 a 450 001 9910785936203321 005 20230801225207.0 010 $a9786613940711 010 $a1-283-62826-0 024 7 $a10.1515/9783110269307 035 $a(CKB)2670000000274155 035 $a(EBL)893821 035 $a(OCoLC)812066437 035 $a(SSID)ssj0001114991 035 $a(PQKBManifestationID)11598684 035 $a(PQKBTitleCode)TC0001114991 035 $a(PQKBWorkID)11061069 035 $a(PQKB)10018379 035 $a(MiAaPQ)EBC893821 035 $a(DE-B1597)173789 035 $a(OCoLC)810253717 035 $a(DE-B1597)9783110269307 035 $a(Au-PeEL)EBL893821 035 $a(CaPaEBR)ebr10606506 035 $a(CaONFJC)MIL394071 035 $a(EXLCZ)992670000000274155 100 $a20120518d2012 uy 0 101 0 $aeng 135 $aurun#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aAlgebras of multiplace functions$b[electronic resource] /$fWieslaw A. Dudek, Valentin S. Trokhimenko 210 $aBerlin ;$aBoston $cDe Gruyter$dc2012 215 $a1 online resource (400 p.) 300 $aDescription based upon print version of record. 311 0 $a3-11-026930-9 311 0 $a3-11-026928-7 320 $aIncludes bibliographical references and indexes. 327 $tFront matter --$tPreface --$tContents --$tChapter 1. Main concepts --$tChapter 2. Menger algebras of functions --$tChapter 3. Ordered Menger algebras --$tChapter 4. Relations between functions --$tChapter 5. (2, n)-semigroups of functions --$tChapter 6. Systems of multiplace functions --$tChapter 7. Open problems --$tBibliography --$tIndex of notations --$tIndex 330 $aThis 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. 606 $aAlgebra 610 $aIterative Algebra. 610 $aMenger Algebra. 610 $aMultiplace Function. 610 $aPositional Algebra. 615 0$aAlgebra. 676 $a512 686 $aSK 200$2rvk 700 $aDudek$b Wieslaw A$01121051 701 $aTrokhimenko$b Valentin S$01494586 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910785936203321 996 $aAlgebras of multiplace functions$93718166 997 $aUNINA