Precovers and preenvelopes under change of rings

Lixin Mao

doi:10.1216/RMJ-2015-45-5-1527

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Home > Journals > Rocky Mountain J. Math. > Volume 45 > Issue 5 > Article

2015 Precovers and preenvelopes under change of rings

Lixin Mao

Rocky Mountain J. Math. 45(5): 1527-1554 (2015). DOI: 10.1216/RMJ-2015-45-5-1527

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Abstract

Let $R\rightarrow S$ be a ring homomorphism. We analyze the relationship between the precovers (preenvelopes) in the category of right $R$-modules and the counterparts in the category of right $S$-modules. Some applications are also given.

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Lixin Mao. "Precovers and preenvelopes under change of rings." Rocky Mountain J. Math. 45 (5) 1527 - 1554, 2015. https://doi.org/10.1216/RMJ-2015-45-5-1527