Examples of 'algebraic structure' in a sentence
Meaning of "algebraic structure"
This phrase is used in mathematics to describe a set with one or more operations defined on it, satisfying certain properties. It is a fundamental concept in algebra
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- Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra; (more formally) a mathematical object comprising a carrier set (aka underlying set or domain), an optional scalar set, a set of operations (typically binary operations, but otherwise each of finite arity) and a set of identities (axioms) which the operations must satisfy.
- Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra;
- a mathematical object comprising a carrier set (aka underlying set or domain), an optional scalar set, a set of operations (typically binary operations, but otherwise each of finite arity) and a set of identities (axioms) which the operations must satisfy.
How to use "algebraic structure" in a sentence
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algebraic structure
It is named after the algebraic structure magma.
The algebraic structure of this matrix is studied.
An endomorphism is a homomorphism from an algebraic structure to itself.
Is that unique algebraic structure represented by all.
But it is possible to extend our algebraic structure.
Algebraic structure theory of sequential machines.
A magma or groupoid is an algebraic structure that generalizes a group.
Pointed sets may be regarded as a rather simple algebraic structure.
Its order and algebraic structure make it into an ordered field.
The composition of functions creates the algebraic structure of a monoid.
A quandle is an algebraic structure in which these laws of conjugation play a central role.
It also defines the algebraic structure.
An algebraic structure that generalizes the operations known from regular expressions.
Have a strong algebraic structure.
The purpose of defining a group homomorphism is to create functions that preserve the algebraic structure.
See also
Real and complex numbers form an algebraic structure called a field.
This type of algebraic structure captures essential properties of both set operations and logic operations.
The definition of a congruence depends on the type of algebraic structure under consideration.
The study of any algebraic structure includes that of the morphisms for this structure.
The syntax and semantics of concatenative languages form the algebraic structure of a monoid.
This frequently encountered algebraic structure is closely related to the notion of vector space.
The main focus of this activity is the interrelation between algebraic structure and algorithms.
The algebraic structure K is Archimedean if it has no infinite elements and no infinitesimal elements.
A topological group is a mathematical object with both an algebraic structure and a topological structure.
Its algebraic structure and topology make it into a Lie group, a type of topological group.
This operation gives the symmetries of a polygon the algebraic structure of a finite group.
Abstract structure Algebraic structure Equivalent definitions of mathematical structures Intuitionistic type theory Space (mathematics).
The key technical value of tangles and string links is that they have algebraic structure.
In this way, every algebraic structure defines a category.
There are a number of results that relate solvability of the word problem and algebraic structure.
In this way, every algebraic structure gives rise to a category.
This shows that the order on R is determined by its algebraic structure.
In the above description, the algebraic structure S is a finite field.
Similarly, very particular curves may have a complicated algebraic structure.
The algebraic structure may be a finite ring ( integer residue ring ).
In mathematics, a magma is kind of algebraic structure.
In mathematics, a category is an algebraic structure that comprises " objects " that are linked by " arrows ".
Actually, we discuss two aspects of such algebraic structure.
A lattice is another kind of algebraic structure with two binary operations, ∧ and ∨.
One sign of re-organization was the use of direct sums to describe algebraic structure.
Moreover, the exact matrix representation has an algebraic structure very similar to the Dirac equation.
The added structure must be compatible, in some sense, with the algebraic structure.
The endomorphisms of a nonabelian group generate an algebraic structure known as a near-ring.
In mathematics, a Moufang loop is a special kind of algebraic structure.
This two-parameter family of PDEs admits a rich algebraic structure that we study in detail.
Boole conceived of " elective symbols " of his kind as an algebraic structure.
There are many examples of mathematical structures where algebraic structure exists alongside non-algebraic structure.
If these obey certain rules, then a particular algebraic structure is formed.
In mathematics, a near-semiring (also seminearring) is an algebraic structure more general than a near-ring or a semiring.
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Examples of using Structure
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Its structure is hierarchical at all levels of jurisdiction
