more specifically in homological algebra, a resolution (or left resolution; dually a coresolution or right resolution) is an exact sequence of modules...
13 KB (2,077 words) - 18:21, 30 January 2024
Year's Day Dispute resolution, the settlement of a disagreement Resolution (algebra), an exact sequence in homological algebra Resolution (logic), a rule...
7 KB (838 words) - 03:06, 27 August 2024
lemma Extension (algebra) Central extension Splitting lemma Projective module Injective module Projective resolution Injective resolution Koszul complex...
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Homological algebra is the branch of mathematics that studies homology in a general algebraic setting. It is a relatively young discipline, whose origins...
27 KB (3,857 words) - 23:14, 1 October 2024
In algebraic geometry, the problem of resolution of singularities asks whether every algebraic variety V has a resolution, which is a non-singular variety...
42 KB (5,453 words) - 17:04, 6 May 2024
François Viète (redirect from New algebra)
Vieta, was a French mathematician whose work on new algebra was an important step towards modern algebra, due to his innovative use of letters as parameters...
48 KB (6,337 words) - 15:42, 21 September 2024
Tor functor (category Homological algebra)
homological algebra, in which ideas from algebraic topology are used to construct invariants of algebraic structures. The homology of groups, Lie algebras, and...
13 KB (2,030 words) - 16:56, 21 August 2024
Standard complex (redirect from Standard resolution)
called standard resolution, bar resolution, bar complex, bar construction, is a way of constructing resolutions in homological algebra. It was first introduced...
3 KB (347 words) - 05:40, 13 May 2024
Springer resolution is a resolution of the variety of nilpotent elements in a semisimple Lie algebra, or the unipotent elements of a reductive algebraic group...
4 KB (481 words) - 08:44, 1 December 2021
In homological algebra, the Cartan–Eilenberg resolution is in a sense, a resolution of a chain complex. It can be used to construct hyper-derived functors...
3 KB (477 words) - 00:39, 16 December 2023