right exact
61Morita equivalence — In abstract algebra, Morita equivalence is a relationship defined between rings that preserves many ring theoretic properties. It is named after Japanese mathematician Kiiti Morita who defined equivalence and a similar notion of duality in 1958.… …
62Direct image functor — In mathematics, in the field of sheaf theory and especially in algebraic geometry, the direct image functor generalizes the notion of a section of a sheaf to the relative case. Contents 1 Definition 1.1 Example 1.2 Variants …
63Injective sheaf — In mathematics, injective sheaves of abelian groups are used to construct the resolutions needed to define sheaf cohomology (and other derived functors, such as sheaf Ext .). There is a further group of related concepts applied to sheaves: flabby …
64Projective module — In mathematics, particularly in abstract algebra and homological algebra, the concept of projective module over a ring R is a more flexible generalisation of the idea of a free module (that is, a module with basis vectors). Various equivalent… …
65Lie algebra cohomology — In mathematics, Lie algebra cohomology is a cohomology theory for Lie algebras. It was defined by Chevalley and Eilenberg (1948) in order to give an algebraic construction of the cohomology of the underlying topological spaces of compact Lie …
66Inverse image functor — In mathematics, the inverse image functor is a contravariant construction of sheaves. The direct image functor is the primary operation on sheaves, with the simplest definition. The inverse image exhibits some relatively subtle… …
67Correct — Cor*rect (k[^o]r*r[e^]kt ), a. [L. correctus, p. p. of corrigere to make straight, to correct; cor + regere to lead straight: cf. F. correct. See {Regular}, {Right}, and cf. {Escort}.] Set right, or made straight; hence, conformable to truth,… …
68beam — /bim / (say beem) noun 1. a thick, long piece of timber, shaped for structural use. 2. a similar piece of metal, stone, etc. 3. Building Trades one of the main horizontal supporting members in a building or the like, as for supporting a roof or… …
69Direct limit — In mathematics, a direct limit (also called inductive limit) is a colimit of a directed family of objects . We will first give the definition for algebraic structures like groups and modules, and then the general definition which can be used in… …
70adjust — verb Etymology: Middle English ajusten, from Old French ajuster to make conform, from a (from Latin ad ) + juste right, exact more at just Date: 14th century transitive verb 1. a. to bring to a more satisf …
