Examples of using Commutative in English and their translations into Spanish
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For any commutative ring R, the category of R-algebras is monoidal with the tensor product
Under this correspondence, the commutative finite-dimensional algebras correspond to the cocommutative finite-dimensional coalgebras.
In K-theory, the point of departure is to observe that the category of vector bundles on a topological space has a commutative monoid structure under direct sum.
Modules over commutative rings can be generalized in a different direction:
A major difference between rings which are and are not commutative is the necessity to separately consider right ideals and left ideals.
disjunction are associative, commutative and idempotent in classical logic, most varieties of many-valued logic
it can be shown that D is neither commutative nor additive in general.
together they are among the most basic tools in analysing commutative rings.
turning them into commutative algebras and Lie algebras in different ways.
and we have a commutative local ring.
most geometrical properties of algebraic varieties into algebraic properties of associated commutative rings.
They have the advantage that they are associative and commutative, and natural product distributes over natural sum.
If two rotations are taken about the same axis, the resulting group is commutative and does not have the property required in step 1.
The Pontryagin duality describes the theory for commutative groups, as a generalised Fourier transform.
What are known as multiplicative formulas are the basic laws of commutative properties, integration, and classification.
a diagram is commutative if every polygonal subdiagram is commutative.
Commutative rings resemble familiar number systems, and various definitions for commutative rings are designed to formalize properties of the integers.
To some extent, the relationships between these classes of operators are similar to the relationships between their commutative counterparts.
this covers the case when R is a right Noetherian domain which might not be commutative.
the category of abelian groups, or the category of commutative rings.