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Algebraic structure

Definition of the noun Algebraic structure

What does Algebraic structure mean as a name of something?

noun

  1. [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.

Explanation

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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Google previewAbstract 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 ...

Google previewSpectral Interpretation of Decision Diagrams (2006)

by Radomir Stankovic, Jaakko T. Astola

Thus, an algebraic structure is an abstraction of joint features of several ...

Google previewAlgebraic Methods in Philosophical Logic (2001)

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 ...

Google previewA Dictionary of Computer Science (2016)

by Andrew Butterfield, Gerard Ekembe Ngondi, Anne Kerr

algebraic structure An alternative expression for an *algebra. Sometimes there is a technical difference: algebras are always sets with constants and functions; algebraic structures are sometimes algebras ...

Google previewDictionary of Logic as Applied in the Study of Language (2013)

Concepts/Methods/Theories by W. Marciszewski

algebraic structure; (b) a formal theory of algebraic structures. Algebraic structures 1. Logic .

Google previewThe Concise Oxford Dictionary of Mathematics (2009)

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.

Google previewThe Penguin Dictionary of Mathematics (2008)

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 ...

Google previewEncyclopedia of Computer Science and Technology (1989)

Volume 20 - Supplement 5: Automatic Placement and Floorplanning for VLSI Circuits to Parallel Processing by Allen Kent, James G. Williams

Therefore, the algebraic structure is already of intrinsic interest. The structure is also important for all kinds of applications because each numerical or approximation method can only be good and effective if the algebraic and topological ...

Google previewDictionary of philosophical terms (1997)

by Elmar Waibl

algebraic structure s algebraische Struktur f (mat) algorithm s Algorithmus m (mat) < logarithm algorithmic information s algotithmische ...

Google previewThe Facts on File Dictionary of Mathematics (2009)

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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