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Indecomposable Pure Injective Modules over Serial Rings

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Serial Rings
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Abstract

Let e be an indecomposable idempotent of a serial ring R. A pp-type p(x) is called an e-type if e | xp; and pp-formula ϕ(x) is an e-formula if ϕe | x. For example, the pp-formula s | x for sRe is an e-formula. A e-pair is a pair 〈I, J〉, where IeR is a right ideal and JRe is a left ideal of R.

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© 2001 Springer Science+Business Media Dordrecht

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Puninski, G. (2001). Indecomposable Pure Injective Modules over Serial Rings. In: Serial Rings. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0652-1_11

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  • DOI: https://doi.org/10.1007/978-94-010-0652-1_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-3862-1

  • Online ISBN: 978-94-010-0652-1

  • eBook Packages: Springer Book Archive

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