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020 _a9789819991716
_9978-981-99-9171-6
024 7 _a10.1007/978-981-99-9171-6
_2doi
050 4 _aQA174-183
072 7 _aPBG
_2bicssc
072 7 _aMAT002010
_2bisacsh
072 7 _aPBG
_2thema
100 1 _aGuo, Yuqi.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_975550
245 1 0 _aTopics on Combinatorial Semigroups
_h[electronic resource] /
_cby Yuqi Guo, Yun Liu, Shoufeng Wang.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aX, 271 p. 26 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _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.
520 _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.
650 0 _aGroup theory.
_970149
650 0 _aComputer science
_xMathematics.
_964041
650 0 _aUniversal algebra.
_975551
650 0 _aAssociative rings.
_972027
650 0 _aAssociative algebras.
_972028
650 1 4 _aGroup Theory and Generalizations.
_970154
650 2 4 _aMathematical Applications in Computer Science.
_965518
650 2 4 _aGeneral Algebraic Systems.
_975552
650 2 4 _aAssociative Rings and Algebras.
_972029
700 1 _aLiu, Yun.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_975553
700 1 _aWang, Shoufeng.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_975554
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789819991709
776 0 8 _iPrinted edition:
_z9789819991723
776 0 8 _iPrinted edition:
_z9789819991730
856 4 0 _uhttps://doi.org/10.1007/978-981-99-9171-6
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c59294
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