Translation for 'homological' from English to Russian

homological algebra

гомологическая алгебра {ж}мат.

• The other is Kontsevich's homological mirror symmetry conjecture (HMS conjecture).
• In mathematics, derivators are a proposed frameworkpg 190-195 for homological algebra giving a foundation for both abelian and non-abelian homological algebra and various generalizations of it.
• Holonomic modules can also be characterized by a homological condition: "M" is holonomic if and only if D("M") is concentrated (seen as an object in the derived category of "D"-modules) in degree 0.
• The snake lemma is a tool used in mathematics, particularly homological algebra, to construct long exact sequences.
• There are many nice homological properties of Noetherian schemes.

• Hilbert's syzygy theorem is now considered to be an early result of homological algebra. It is the starting point of the use of homological methods in commutative algebra and algebraic geometry.
• Abelian categories are the most general setting for homological algebra.
• In homological algebra and algebraic topology, a spectral sequence is a means of computing homology groups by taking successive approximations.
• In mathematics, particularly homological algebra, an exact functor is a functor that preserves short exact sequences.
• In 1965 Jean-Pierre Serre described how to find the multiplicity of each intersection point by methods of commutative algebra and homological algebra.

• The terms homological δ-functor and cohomological δ-functor are sometimes used to distinguish between the case where the morphisms "go down" ("homological") and the case where they "go up" ("cohomological").
• to the homological connectivity"," denoted by [...].
• Central to homological algebra is the notion of exact sequence; these can be used to perform actual calculations.
• In ring theory and homological algebra, the global dimension (or global homological dimension; sometimes just called homological dimension) of a ring "A" denoted gl dim "A", is a non-negative integer or infinity which is a homological invariant of the ring.