<電子ブック>
The Theory of Partial Algebraic Operations / by E.S. Ljapin, A.E. Evseev
(Mathematics and Its Applications ; 414)
版 | 1st ed. 1997. |
---|---|
出版者 | Dordrecht : Springer Netherlands : Imprint: Springer |
出版年 | 1997 |
本文言語 | 英語 |
大きさ | X, 238 p : online resource |
著者標目 | *Ljapin, E.S author Evseev, A.E author SpringerLink (Online service) |
件 名 | LCSH:Mathematical logic LCSH:Group theory LCSH:Algebra LCSH:Functional analysis LCSH:Coding theory LCSH:Information theory FREE:Mathematical Logic and Foundations FREE:Group Theory and Generalizations FREE:Order, Lattices, Ordered Algebraic Structures FREE:Functional Analysis FREE:Coding and Information Theory |
一般注記 | 0 Basic Terminology -- 1 Initial Concepts and Properties -- 2 Homomorphisms -- 3 Divisibility Relations -- 4 Intermediate Associativity -- 5 Semigroup Extensions of Partial Operations -- 6 Partial Groupoids of Transformations -- 7 Factorisation of Partial Groupoids Nowadays algebra is understood basically as the general theory of algebraic oper ations and relations. It is characterised by a considerable intrinsic naturalness of its initial notions and problems, the unity of its methods, and a breadth that far exceeds that of its basic concepts. It is more often that its power begins to be displayed when one moves outside its own limits. This characteristic ability is seen when one investigates not only complete operations, but partial operations. To a considerable extent these are related to algebraic operators and algebraic operations. The tendency to ever greater generality is amongst the reasons that playa role in explaining this development. But other important reasons play an even greater role. Within this same theory of total operations (that is, operations defined everywhere), there persistently arises in its different sections a necessity of examining the emergent feature of various partial operations. It is particularly important that this has been found in those parts of algebra it brings together and other areas of mathematics it interacts with as well as where algebra finds applica tion at the very limits of mathematics. In this connection we mention the theory of the composition of mappings, category theory, the theory of formal languages and the related theory of mathematical linguistics, coding theory, information theory, and algebraic automata theory. In all these areas (as well as in others) from time to time there arises the need to consider one or another partial operation HTTP:URL=https://doi.org/10.1007/978-94-017-3483-7 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9789401734837 |
|
電子リソース |
|
EB00229991 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA8.9-10.3 DC23:511.3 |
書誌ID | 4000111674 |
ISBN | 9789401734837 |
類似資料
この資料の利用統計
このページへのアクセス回数:9回
※2017年9月4日以降