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010   $a9789819991716
024 7 $a10.1007/978-981-99-9171-6
035   $a(CKB)31801772300041
035   $a(MiAaPQ)EBC31304035
035   $a(Au-PeEL)EBL31304035
035   $a(DE-He213)978-981-99-9171-6
035   $a(OCoLC)1432006863
035   $a(EXLCZ)9931801772300041
100   $a20240422d2024      u|         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aTopics on Combinatorial Semigroups /$fby Yuqi Guo, Yun Liu, Shoufeng Wang
205   $a1st ed. 2024.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2024.
215   $a1 online resource (279 pages)
311 08$a9789819991709 
327   $aPreface -- Basic Concepts and Notations -- Some Common-Used Codes -- Regular Languages -- Disjunctive Languages -- F-Disjunctive Languages -- Relatively Disjunctive (Regular) Languages -- Generalized Disjunctive Languages -- PS-Regular Languages.
330   $aBy combinatorial semigroups, we mean a general term of concepts, facts and methods which are produced in investigating of algebraic and combinatorial properties, constructions, classifications and interrelations of formal languages and automata, codes, finite and infinite words by using semigroup theory and combinatorial analysis. The main research objects in this field are the elements and subsets of the free semigroups and monoids and many combinatorial properties of these objects, which are closely related to algebraic theory of semigroups. This book first introduces some basic concepts and notations in combinatorial semigroups. Since many contents involving the constructions of (generalized) disjunctive languages and regular languages are closely related to the algebraic theory of codes, some selected topics are introduced in the following chapter, including the method of defining codes by using dependence systems, the maximality and completeness of codes, and the detailed discussion of some special kinds of codes such as convex codes, semaphore codes and solid codes. Then the remaining chapters present the main topics of the book - regular languages, disjunctive languages, and their various kinds of generalizations. This book might be useful to researchers in mathematics who are interested in combinatorial semigroups.
606   $aGroup theory
606   $aComputer science$xMathematics
606   $aAlgebra, Universal
606   $aAssociative rings
606   $aAssociative algebras
606   $aGroup Theory and Generalizations
606   $aMathematical Applications in Computer Science
606   $aGeneral Algebraic Systems
606   $aAssociative Rings and Algebras
606   $aAnàlisi combinatòria$2thub
606   $aSemigrups$2thub
608   $aLlibres electrònics$2thub
615  0$aGroup theory.
615  0$aComputer science$xMathematics.
615  0$aAlgebra, Universal.
615  0$aAssociative rings.
615  0$aAssociative algebras.
615 14$aGroup Theory and Generalizations.
615 24$aMathematical Applications in Computer Science.
615 24$aGeneral Algebraic Systems.
615 24$aAssociative Rings and Algebras.
615  7$aAnàlisi combinatòria
615  7$aSemigrups.
676   $a512.2
700   $aGuo$b Yuqi$01770171
701   $aLiu$b Yun$01770172
701   $aWang$b Shoufeng$01770173
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
912   $a9910851985703321
996   $aTopics on Combinatorial Semigroups$94247952
997   $aUNINA