Translation for 'algebraic structure' from English to Russian

algebraic structure

алгебраическая структура {ж}мат.

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algebraic

алгебраический {adj}мат.

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algebraic expression

алгебраическое выражение {с}мат.

algebraic geometry

алгебраическая геометрия {ж}мат.наука

algebraic curve

алгебраическая кривая {ж}мат.

algebraic number

алгебраическое число {с}мат.

algebraic number theory

алгебраическая теория {ж} чиселмат.

structure

строение {с}

сооружение {с} [строение]архит.

protein structure

структура {ж} белковбиохим.

structure [arrangement]

структура {ж}

fine-structure constant <α>

постоянная {ж} тонкой структуры <α>физ.

• Furthermore, the Kleene star is generalized by including the *-operation (and the union) in the algebraic structure itself by the notion of complete star semiring.
• In mathematics, an associative algebra "A" is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field "K".
• Just as the automorphisms of an algebraic structure form a group, the isomorphisms between two algebras sharing a common structure form a heap.
• An algebraic structure may have more than one operation, and a homomorphism is required to preserve each operation.
• In other words, the group "H" in some sense has a similar algebraic structure as "G" and the homomorphism "h" preserves that.

• A more general algebraic structure that satisfies all the other axioms of a field, but whose multiplication is not required to be commutative, is called a division ring (or sometimes "skew field").
• Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields.
• A near-field is an algebraic structure similar to a division ring, except that it has only one of the two distributive laws.
• A ring is an algebraic structure with two operations, "addition" and "multiplication", which are denoted as the usual operations on numbers.
• Cohomology can be viewed as a method of assigning algebraic invariants to a topological space that has a more refined algebraic structure than does homology.

• In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative internal binary operation on it.
• In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that "division" is always possible.
• generalizes naturally to the subalgebras of an algebraic structure or algebra.
• On a "global" level, whenever a Lie group acts on a geometric object, such as a Riemannian or a symplectic manifold, this action provides a measure of rigidity and yields a rich algebraic structure.