Cotensor

Übersetzung von "cotensor" ins Russisch

cotensor

Substantiv

/kəʊˈtɛnsə/

/koʊˈtɛn.sɚ/

cotensor

cotensors Pl.

котензор

In mathematics, a cotensor is used in the study of category theory.

В математике котензор используется в изучении теории категорий.

Definitionen

cotensor

Substantiv

/kəʊˈtɛnsə/

/koʊˈtɛn.sɚ/

In mathematics, particularly in category theory, a cotensor is a construction that is dual to the tensor product. It is used in the context of enriched category theory.

The cotensor of two objects in a category can provide insights into the dual relationships between them.

(Coalgebra theory) The cotensor product of two comodules regarded as a single object.

The homology is computed using the cotensor of the comodules M and N over the coalgebra C.

cotensor

Verb

/kəʊˈtɛnsə/

/koʊˈtɛn.sɚ/

To construct the cotensor (cotensor product) of given objects, usually over a coalgebra or within an enriched category.

We cotensor the right comodule M with the left comodule N over H to obtain M □_H N.

cotensor

Adjektiv

/kəʊˈtɛnsə/

/koʊˈtɛn.sɚ/

Relating to or involving a cotensor or cotensor product; dual to tensor.

The cotensor functor preserves limits in the enriched category.

Übersetzungen
Definitionen