### Some articles on *projective, projectives*:

**Projective**Cover

... In the branch of abstract mathematics called category theory, a

**projective**cover of an object X is in a sense the best approximation of X by a

**projective**object P ...

**Projective**covers are the dual of injective envelopes ...

Resolution (algebra) - Resolutions in Abelian Categories

... The analogous notion of

... The analogous notion of

**projective**and injective modules are**projective**and injective objects, and, accordingly,**projective**and injective resolutions ... If every object of A has a**projective**(resp ... injective) resolution, then A is said to have enough**projectives**(resp ...Cartan–Eilenberg Resolution - Definition

... Let be an Abelian category with enough

... Let be an Abelian category with enough

**projectives**, and let A∗ be a chain complex with objects in ... Ppq = 0 for q < 0) consisting of**projective**objects of and a chain map ε Pp0 → Ap such that Ap = 0 implies that the pth column is zero (Ppq = 0 for all q) ... and homology of the pth column of P∗∗ give**projective**resolutions of the pth boundary and homology groups of A∗, respectively ...Schanuel's Lemma - Origins

... Kaplansky writes Early in the course I formed a one-step

... Kaplansky writes Early in the course I formed a one-step

**projective**resolution of a module, and remarked that if the kernel was**projective**in one resolution it was**projective**in all ...Abstract Algebraic Variety - Introduction and Definitions

... Next, one can define

... Next, one can define

**projective**and quasi-**projective**varieties in a similar way ... definition of a variety is obtained by patching together smaller quasi-**projective**varieties ...Main Site Subjects

Related Subjects

Related Phrases

Related Words