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Indecomposable Pure Injective Modules over Serial Rings
2001Let 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 Injective Modules over Commutative Valuation Domains
2001In 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, 2022Toksoy, S Eylem, Toksoy, Sultan Eylem
exaly
Envelopes and covers by modules of finite pure-injective and pure-projective dimensions
Indian Journal of Pure and Applied Mathematics, 2023Yuedi Zeng
exaly
Pure-injective modules over the dihedral algebras
Communications in Algebra, 1997Stefano Baratella, Mike Prest
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