عنوان

The Theory of Partial Algebraic Operations

شابک

9789048148677

شابک

9789401734837

شماره

b408379

عنوان اصلي

The Theory of Partial Algebraic Operations

نام عام مواد

[Book]

نام نخستين پديدآور

by E. S. Ljapin, A. E. Evseev.

محل نشرو پخش و غیره

Dordrecht :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

1997.

عنوان فروست

Mathematics and Its Applications ;

مشخصه جلد

414

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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.

شماره استاندارد بين المللي کتاب و موسيقي

9789048148677

عنوان

Springer eBooks

موضوع مستند نشده

Algebra.

موضوع مستند نشده

Coding theory.

موضوع مستند نشده

Functional analysis.

موضوع مستند نشده

Group theory.

موضوع مستند نشده

Logic, Symbolic and mathematical.

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Ljapin, E. S.

مستند نام اشخاص تاييد نشده

Evseev, A. E.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307162700.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y