Indecomposable Pure Injective Modules over Serial Rings

Gennadi Puninski
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Gennadi Puninski: Moscow State Social University, Department of Mathematics

Chapter Chapter 11 in Serial Rings, 2001, pp 136-150 from Springer

Abstract: Abstract Let e be an indecomposable idempotent of a serial ring R. A pp-type p(x) is called an e-type if e | x ∈ p; and pp-formula ϕ(x) is an e-formula if ϕ → e | x. For example, the pp-formula s | x for s ∈ Re is an e-formula. A e-pair is a pair 〈I, J〉, where I ⊂ eR is a right ideal and J ⊂ Re is a left ideal of R.

Keywords: Direct Summand; Left Ideal; Noetherian Ring; Endomorphism Ring; Serial Ring (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-94-010-0652-1_11

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