This chapter contains some basic tools and definitions of module theory: exact sequences, pullbacks and pushouts, projective and injective modules, and injective hulls, with applications to rings. Sections 5 and 6 may be skipped.
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© 2007 Springer Science+Business Media, LLC
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(2007). Projectives and Injectives. In: Abstract Algebra. Graduate Texts in Mathematics, vol 242. Springer, New York, NY. https://doi.org/10.1007/978-0-387-71568-1_10
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DOI: https://doi.org/10.1007/978-0-387-71568-1_10
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-71567-4
Online ISBN: 978-0-387-71568-1
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