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Topics on combinatorial semigroups

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Topics on combinatorial semigroups/ by Yuqi Guo, Yun Liu, Shoufeng Wang.
作者:	Guo, Yuqi.
其他作者:	Liu, Yun.
出版者:	Singapore :Springer Nature Singapore : : 2024.,
面頁冊數:	x, 271 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Semigroups. -
電子資源:	https://doi.org/10.1007/978-981-99-9171-6
ISBN:	9789819991716

Topics on combinatorial semigroups
Guo, Yuqi.

Topics on combinatorial semigroups[electronic resource] /by Yuqi Guo, Yun Liu, Shoufeng Wang. - Singapore :Springer Nature Singapore :2024. - x, 271 p. :ill., digital ;24 cm.

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.

ISBN: 9789819991716

Standard No.: 10.1007/978-981-99-9171-6doiSubjects--Topical Terms:

609931
Semigroups.

LC Class. No.: QA182

Dewey Class. No.: 512.27

Topics on combinatorial semigroups
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505 0 $a 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.
520 $a 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.
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700 1 $a Wang, Shoufeng. $3 3716159
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