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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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### 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 ...

### Spectral Interpretation of Decision Diagrams (2006)

by Radomir Stankovic, Jaakko T. Astola

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

### Algebraic 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 ...

### Algebra: Form and Function, 2nd Edition (2015)

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 ...

### A 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 ...

### The 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 ...

### Dictionary 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 .

### The 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.

### Dictionary of Physics (2016)

by Palgrave Macmillan Ltd

The algebraic structure, beyond that arising from the codification of locality, specifies the physical system.

### Encyclopedia 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 ...

### Encyclopedia of Information Science and Technology, Fourth Edition (2017)

by Khosrow-Pour, D.B.A., Mehdi

is a denotational def algebraic structure of the type GAF gr = (G,. R) , where is a finite and non-empty set of abstract granules GF gr in the granular framework gr, and is a finite and non-empty set of computational relations ...

### Dictionary of philosophical terms (1997)

by Elmar Waibl

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

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