Injective Module
See also
Commutative Diagram, Baer's Criterion, Cofree Module, Divisible Module, Exact Functor, Projective Module
This entry contributed by Margherita Barile
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References
Beachy, J. A. Introductory Lectures on Rings and Modules. Cambridge, England: Cambridge University Press, pp. 93-95, 1999.Bruns, W. and Herzog, J. Cohen-Macaulay Rings, 2nd ed. Cambridge, England: Cambridge University Press, pp. 87-91, 1998.Cartan H. and Eilenberg, S. "Injective Modules." §1.3 in Homological Algebra. Princeton, NJ: Princeton University Press, pp. 8-10, 1956.Hilton, P. J. and Stammbach, U. "Dualization, Injective Modules" and "Injective Modules over a Principal Ideal Domain." §6 and 7 in A Course in Homological Algebra, 2nd ed. New York: Springer-Verlag, pp. 28-33, 1997.Jacobson, N. "Injective Modules. Injective Hull." §3.11 in Basic Algebra II. San Francisco, CA: W. H. Freeman, pp. 155-164, 1980.Lam, T. Y. "Injective Modules." §3 in Lectures on Modules and Rings. New York: Springer-Verlag, pp. 60-120, 1999.Lang, S. "Injective Modules." §20.4 in Algebra, rev. 3rd ed. New York: Springer-Verlag, pp. 782-786, 2002.Mac Lane, S. "Injective Modules." §7 in Homology. Berlin: Springer-Verlag, pp. 92-95, 1967.Northcott, D. G. "Injective Modules." §5.2 in An Introduction to Homological Algebra. Cambridge, England: Cambridge University Press, pp. 67-70, 1966.Passman, D. S. A Course in Ring Theory. Pacific Grove, CA: Wadsworth & Brooks/Cole, pp. 206-210, 1991.Rowen, L. H. "Injective Modules." §2.10 in Ring Theory, Vol. 1. San Diego, CA: Academic Press, pp. 261-270, 1988.Sharpe, D. W. and Vámos, P. Injective Modules. Cambridge, England: Cambridge University Press, 1972.
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Barile, Margherita. "Injective Module." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/InjectiveModule.html