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Definition of the noun Algebraic structure
What does Algebraic structure mean as a name of something?
- [algebra] One or more sets together with a set of operations such that the sets are closed under the operations and are satisfying some axioms.
Algebraic structure: In mathematics, and more specifically in abstract algebra, the term algebraic structure generally refers to a set with one or more finitary operations defined on it.
- also known as 代数结构
Printed dictionaries and other books with definitions for Algebraic structure
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Proceedings of a Conference on Secondary Calculus and Cohomological Physics, August 24-31, 1997, Moscow, Russia by Marc Henneaux, Iosif Semenovich Krasilʹshchik, Aleksandr Mikhaĭlovich Vinogradov
Such an algebraic structure is a common feature of all supersymmetric ...
12th International Symposium, FCT'99 Iasi, Romania, August 30 - September 3, 1999 Proceedings by Gabriel Ciobanu, Gheorghe Paun
the relevant algebraic structure is that of commutative monoids: the markings of the net can be regarded as elements of the free commutative monoid S⊕, and the structured transition system associated with N, denoted TS( N), ...
Logic and Scientific Methods (1997)
Volume One of the Tenth International Congress of Logic, Methodology and Philosophy of Science, Florence, August 1995 by Maria Luisa Dalla Chiara
Partial al9ebraic structures A partial algebraic structure is a set together with a collection of partial operations. A variety of algebraic structures of a given signature axiomatized by identities T (call the variety also T) gives rise to an associated ...
Goal-Directed Proof Theory (2000)
by Dov M. Gabbay, N. Olivetti
semantics the algebraic structure is a semilattice. The semantics by Urquhart can be interestingly seen as a sort of metalevel codification of the bookkeeping mechanism used to control natural deduction proofs in relevant logics [Anderson and ...
by W. Gellert
An algebraic structure is a set on which certain operations (addition, multiplication, intersection etc.) are defined, where the exact nature of the objects of the set is irrelevant to the investigation. This concept of structure, which was developed at ...
Abstract Algebra (2011)
Applications to Galois Theory, Algebraic Geometry and Cryptography by Celine Carstensen, Benjamin Fine, Gerhard Rosenberger
Briefly, an algebraic structure is a set S together with one or more binary operations on it satisfying axioms governing the operations. There are many algebraic structures but the most commonly studied structures are groups, rings, fields and ...
by Radomir Stankovic, Jaakko T. Astola
Thus, an algebraic structure is an abstraction of joint features of several ...
by J. Michael Dunn, Gary Hardegree
appropriate algebraic structure is a monoid (M, +,0), where (M, +) is a semi-group and 0 is a distinguished element satisfying (Id) x + 0 = 0 + jc = x (identity). Besides the tedium of keeping track of 0 and ( ), which as "null entities" are a bit hard to ...
Form and Function by William G. McCallum, Eric Connally, Deborah Hughes-Hallett
Paying attention to algebraic structure means looking inside an algebraic. Example1 A student's grade in a course depends on two test grades, t1 and t2, and a final exam grade, f. The average of the two tests counts for 60% of the grade, and ...
Concepts/Methods/Theories by W. Marciszewski
algebraic structure; (b) a formal theory of algebraic structures. Algebraic structures 1. Logic .
by Christopher Clapham, James Nicholson, James R. Nicholson
algebraic structure The term used to describe an abstract concept defined as consisting of certain elements with operations satisfying given axioms.
Fourth edition by David Nelson
algebraic structure A *set equipped with one or more * algebraic operations, usually required to satisfy a system of *axioms. Examples are ...
Volume 45 - Supplement 30 by Allen Kent, James G. Williams
the underlying algebraic structure of confidence levels is a trilattice. Our next example illustrates this framework. Example 7 [Probabilistic DDB (24.35 )].
algebraic structure s algebraische Struktur f (mat) algorithm s Algorithmus m (mat) < logarithm algorithmic information s algotithmische ...
by John Daintith, Richard Rennie
system is called an algebraic structure. algebra, Boolean See Boolean algebra . algebraic structure A structure imposed on elements of a set by certain operations that act on or combine the elements. The ambiguous x • x • combination of the ...
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Video language resources about Algebraic structure
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- Definition: Algebraic structure
Series: Abstract algebra An algebraic structure is a set S together with one or more binary operations closed on S. The set S is called the underlying set.
- Algebraic structure Meaning
Video shows what algebraic structure means. One or more sets (carrier sets) together with a set of operations such that the sets are closed under the operations ...