Abstract
We prove that every ∑-pure-injective module over a serial ring is serial and every ∑-pure-injective faithful indecomposable module over a serial ring is ∑-injective. Moreover, every serial ring that can be realized as the endomorphism ring of an artinian module has finite Krull dimension.
Partially supported by Ministero dell’Università e della Ricerca e Tecnologica (Fondi 40% e 60%), Italy. This author is a member of GNSAGA of CNR.
Supported by Heinrich Hertz Stieftung des Ministerium für Wissenschaft und Forschung des Landes Nordrein-Westfalen (Germany).
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© 1995 Springer Science+Business Media Dordrecht
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Facchini, A., Puninski, G. (1995). ∑-Pure-Injective Modules Over Serial Rings. In: Facchini, A., Menini, C. (eds) Abelian Groups and Modules. Mathematics and Its Applications, vol 343. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0443-2_12
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DOI: https://doi.org/10.1007/978-94-011-0443-2_12
Publisher Name: Springer, Dordrecht
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