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Indecomposable Pure Injective Modules over Serial Rings

2001
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.
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Pure-Direct-Injective Modules

Lobachevskii Journal of Mathematics, 2022
Soumitra Das, Yusuf Alagöz
exaly  

Pure-Injective Modules

2002
Paul C. Eklof, Alan H. Mekler
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Pure Injective Modules over Commutative Valuation Domains

2001
In this section we classify in particular, pure injective modules N(p) over commutative valuation domains. But first let us recall some definitions and facts.
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Pure-direct-injective objects in Grothendieck categories

Sao Paulo Journal of Mathematical Sciences, 2022
Toksoy, S Eylem, Toksoy, Sultan Eylem
exaly  

On -pure-injective modules

Communications in Algebra, 1997
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Envelopes and covers by modules of finite pure-injective and pure-projective dimensions

Indian Journal of Pure and Applied Mathematics, 2023
Yuedi Zeng
exaly  

Pure-injective modules over the dihedral algebras

Communications in Algebra, 1997
Stefano Baratella, Mike Prest
openaire   +1 more source

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