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

SUPERDECOMPOSABLE PURE-INJECTIVE MODULES AND INTEGRAL GROUP RINGS

Journal of the London Mathematical Society, 2006
We prove that if G is a non-trivial finite group, then the integral group ring ℤG possesses a superdecomposable pure-injective module. © 2006 London Mathematical Society.
Puninskiy, Gennady, Puninski, Gena, Puninskaya, Vera, Toffalori, Carlo   +3 more
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∑-Pure-Injective Modules Over Serial Rings

1995
We prove that every ∑-pure-injective module over a serial ring is serial and every ∑-pure-injective faithful indecomposable module over a serial ring is ∑-injective. Moreover, every serial ring that can be realized as the endomorphism ring of an artinian module has finite Krull dimension.
Alberto Facchini, Gennadi Puninski
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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.
openaire   +1 more source

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.
openaire   +1 more source

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 (
openaire   +1 more source

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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Absolutely w-Pure Modules and Weak FP-Injective Dimensions

Results in Mathematics, 2022
Qing
exaly  

Pure-Injective Modules

2002
Paul C. Eklof, Alan H. Mekler
openaire   +1 more source

On Wild Algebras and Super-Decomposable Pure-Injective Modules

Algebras and Representation Theory, 2022
Grzegorz Pastuszak
exaly  

On -pure-injective modules

Communications in Algebra, 1997
openaire   +1 more source