Results 201 to 210 of about 25,785 (225)

Indecomposable decompositions of pure-injective modules

Communications in Algebra, 1998
(1998). Indecomposable decompositions of pure-injective modules. Communications in Algebra: Vol. 26, No. 11, pp. 3709-3725.
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On Pure-Injective Modules

1984
Some results on pure-injective modules over a commutative ring with 1, proved by Ziegler using model theory, are proved here through algebraic methods. As application of these results we obtain again the structure of indecomposable pure-injective modules over a valuation domain, showing that their elements have constant indicator.
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Pure Injective Modules over a Commutative Valuation Domain

Algebras and Representation Theory, 2003
This paper brings the problem of classification of pure injective modules over a commutative valuation domain (CVD) closer to its conclusion by classifying those pure injective modules over a CVD which are envelopes \(N(m)\) of one element \(m\). Geometrical invariants and methods are used.
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Σ-pure-injective Modules and Artinian Modules

1998
The aim of this chapter is to study the endomorphism rings of artinian modules (Section 10.2) and, in particular, to characterize the endomorphism rings of artinian modules that are serial rings (Theorem 10.23). If M S is an artinian module over an arbitrary ring S and R = End(M S ), then R MS is a bimodule and RM is a faithful Σ-pure-injective module (
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Pure-Direct-Injective Modules

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

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-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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Absolutely w-Pure Modules and Weak FP-Injective Dimensions

Results in Mathematics, 2022
Qing
exaly  

On -pure-injective modules

Communications in Algebra, 1997
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