03776nam a22005775i 4500 978-981-99-9171-6 DE-He213 20251030112005.0 cr nn 008mamaa 240422s2024 si | s |||| 0|eng d 9789819991716 978-981-99-9171-6 10.1007/978-981-99-9171-6 doi QA174-183 PBG bicssc MAT002010 bisacsh PBG thema Guo, Yuqi. author. aut http://id.loc.gov/vocabulary/relators/aut 75550 Topics on Combinatorial Semigroups [electronic resource] / by Yuqi Guo, Yun Liu, Shoufeng Wang. 1st ed. 2024. Singapore : Springer Nature Singapore : Imprint: Springer, 2024. X, 271 p. 26 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Preface -- 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. By 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. Group theory. 70149 Computer science Mathematics. 64041 Universal algebra. 75551 Associative rings. 72027 Associative algebras. 72028 Group Theory and Generalizations. 70154 Mathematical Applications in Computer Science. 65518 General Algebraic Systems. 75552 Associative Rings and Algebras. 72029 Liu, Yun. author. aut http://id.loc.gov/vocabulary/relators/aut 75553 Wang, Shoufeng. author. aut http://id.loc.gov/vocabulary/relators/aut 75554 SpringerLink (Online service) Springer Nature eBook Printed edition: 9789819991709 Printed edition: 9789819991723 Printed edition: 9789819991730 https://doi.org/10.1007/978-981-99-9171-6 ZDB-2-SMA ZDB-2-SXMS 59294 59294