homological's Usage Examples:

Chain complexes are studied in homological algebra, but are used in several areas of mathematics, including abstract.

In mathematics, and more specifically in homological algebra, a resolution (or left resolution; dually a coresolution or right resolution) is an exact.

There is also the notion of homological epimorphism in ring theory.

A morphism f: A → B of rings is a homological epimorphism if it is an epimorphism.

the group cohomology of Galois modules, that is, the application of homological algebra to modules for Galois groups.

diagrammatic search) is a method of mathematical proof used especially in homological algebra, where one establishes a property of some morphism by tracing.

An autological word (also called homological word) is a word that expresses a property that it also possesses (e.

These stability properties make them inevitable in homological algebra and beyond; the theory has major applications in algebraic geometry.

The categorical concept of a section is important in homological algebra, and is also closely related to the notion of a section of a.

In mathematics, especially in homological algebra and algebraic topology, a Künneth theorem, also called a Künneth formula, is a statement relating the.

Along with the Ext functor, Tor is one of the central concepts of homological algebra, in which ideas from algebraic topology are used to construct.

predicts that the gonality of the algebraic curve C can be calculated by homological algebra means, from a minimal resolution of an invertible sheaf of high.

particularly homological algebra, to construct long exact sequences.

The snake lemma is valid in every abelian category and is a crucial tool in homological algebra.

In ring theory and homological algebra, the global dimension (or global homological dimension; sometimes just called homological dimension) of a ring.

Examples appear in many branches of mathematics, especially in homological algebra and representation theory.

The concept of torsion plays an important role in homological algebra.

within categories, and are studied in pure mathematics for insight into homological mirror symmetry and noncommutative geometry.

derived category D(A) of an abelian category A is a construction of homological algebra introduced to refine and in a certain sense to simplify the theory.

Synonyms:

homologous; homologic;

Antonyms:

correspondent; heterologous; analogous;