Examples of using Commutative in English and their translations into Hungarian
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Let be a commutative ring.
Every group is a monoid and every abelian group a commutative monoid.
Such commutative groups are called abelian groups.
Definition: Let be a commutative ring.
Any commutative contract in which the debtor's obligations far exceed those of the other party;
So let R be a commutative ring.
Besides commutative justice, there is also social justice with its own set obligations, from which neither employers nor workingmen can escape.
Let R{\displaystyle R} be a commutative ring.
Groups that are commutative are called Abelian Groups.
The evaluation order is not specified for associative and commutative operators like* and+;
Zariski's most famous book is Commutative Algebra, a two volume work written jointly with P Samuel.
In this paper she gave thedecomposition of ideals into intersections of primary ideals in any commutative ring with ascending chain condition.
(valid for any elements x, y of a commutative ring), which explains the name"binomial coefficient".
Thus in the period 1927 to 1937 he turned first to topological questions andthen in 1937 he began to lay the commutative algebraic foundations of his subject.
We actually got here using both the commutative and the associative property, so we get -7.5+ 17.5.
If the dyadic operation◦ is commutative, the group is said to be a commutative group or an abelian group(named for the Norwegian mathematician Niels Abel).
About thirty-five publications of fundamental importance for the development of commutative algebra and algebraic geometry date from this period.
In 1928 he defined the Krull dimension of a commutative Noetherian ring and brought ring theory into in new setting in which he was able to show that the principal ideal theorem held.
Unsuccessful attempts to prove the theorem over a300 year period led to the discovery of commutative ring theory and a wealth of other mathematical discoveries.
Because+ and* are commutative operators, the order in which the popped operands are combined is irrelevant, but for- and/ the left and right operand must be distinguished.
The kirality not reversible and commutative the substances of the life.
Here Bishop worked on uniform algebras(commutative Banach algebras with unit whose norms are the spectral norms) proving results such as antisymmetric decomposition of a uniform algebra, the Bishop-DeLeeuw theorem, and the proof of existence of Jensen measures.
A theory of central division algebras over a given perfect field, and showed that the isomorphism classes of thesealgebras can be used to form a commutative group whose properties gave great insight into the structure of simple algebras.
In mathematics, specifically in commutative algebra, the elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial can be expressed as a polynomial in elementary symmetric polynomials.
The even functions form a commutative algebra over the reals.
In mathematics, specifically in commutative algebra, the power sum symmetric polynomials are a type of basic building block for symmetric polynomials, in the sense that every symmetric polynomial with rational coefficients can be expressed as a sum and difference of products of power sum symmetric polynomials with rational coefficients.
Nature obeys mathematical laws, but while forthe physical brain these laws are primarily geometrical, both in the commutative and noncommutative spaces, for the cognitive brain the underlaying mathematical theory is essentially and fundamentally topological.
The algebraic investigations of general fields by Ernst Steinitz and of commutative and then general rings by David Hilbert, Emil Artin and Emmy Noether, building up on the work of Ernst Kummer, Leopold Kronecker and Richard Dedekind, who had considered ideals in commutative rings, and of Georg Frobenius and Issai Schur, concerning representation theory of groups, came to define abstract algebra.
Gelfand's next major achievement was the theory of commutative normed rings which he created and studied in his D.Sc. thesis submitted in 1938.
