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・ Prokopios Lazaridis
・ Projective cone
・ Projective connection
・ Projective cover
・ Projective differential geometry
・ Projective frame
・ Projective geometry
・ Projective group (disambiguation)
・ Projective harmonic conjugate
・ Projective hierarchy
・ Projective Hilbert space
・ Projective identification
・ Projective line
・ Projective line over a ring
・ Projective linear group
Projective module
・ Projective object
・ Projective orthogonal group
・ Projective plane
・ Projective polyhedron
・ Projective range
・ Projective representation
・ Projective set (disambiguation)
・ Projective Set (game)
・ Projective space
・ Projective superspace
・ Projective test
・ Projective texture mapping
・ Projective unitary group
・ Projective variety


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Projective module : ウィキペディア英語版
Projective module
In mathematics, particularly in abstract algebra and homological algebra, the concept of projective module over a ring R is a generalisation of the idea of a free module (that is, a module with basis vectors). Various equivalent characterizations of these modules appear below.
Projective modules were first introduced in 1956 in the influential book ''Homological Algebra'' by Henri Cartan and Samuel Eilenberg.
== Definitions ==


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