Results 191 to 200 of about 25,785 (225)

Limits of Pure-Injective Cotilting Modules

Algebras and Representation Theory, 2005
Let \(\Lambda\) be an Artin algebra and \(\text{Mod\,}\Lambda\) denotes the category of all right \(\Lambda\)-modules. Infinitely generated cotilting modules in \(\text{Mod\,}\Lambda\) were introduced by \textit{L. Angeleri Hügel} and \textit{F. U. Coelho} [Forum Math. 13, No. 2, 239-250 (2001; Zbl 0984.16009)]. In this paper, the authors study the set
Buan, Aslak Bakke, Solberg, Øyvind
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On pure-injective modules over pullback rings

Communications in Algebra, 2000
Let R be the pullback, in the sense of [9], of two Dedekind domains. We describe all those indecomposable pure-injective R-modules M with finite-dimensional top, that is, such that M/Rad(R)M is finite dimensional over R/Rad(R).
Shahabaddin Ebrahimi Atani
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Pure Injective Indecomposable Modules over 1-Domestic String Algebras

Algebras and Representation Theory, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gena Puninski
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Pure-injective modules over the dihedral algebras

Communications in Algebra, 1997
Stefano Baratella, Mike Prest
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WHEN COTORSION MODULES ARE PURE INJECTIVE

Journal of Mathematical Logic, 2009
We characterize rings over which every cotorsion module is pure injective (Xu rings) in terms of certain descending chain conditions and the Ziegler spectrum, which renders the classes of von Neumann regular rings and of pure semisimple rings as two possible extremes. As preparation, descriptions of pure projective and Mittag–Leffler preenvelopes with
Herzog, Ivo, Rothmaler, Philipp
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Pure-injectivity of Tensor Products of Modules

Algebra Colloquium, 2014
A classical question of Yoneda asks when the tensor product of two injective modules is injective. A complete answer to this question was given by Enochs and Jenda in 1991. In this paper the analogue question for pure-injective modules is studied.
Pournaki, M. R., Torrecillas, Blas, Tousi, M., Yassemi, Siamak   +3 more
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SUPERDECOMPOSABLE PURE INJECTIVE MODULES OVER COMMUTATIVE NOETHERIAN RINGS

Journal of Algebra and Its Applications, 2008
We investigate width and Krull–Gabriel dimension over commutative Noetherian rings which are "tame" according to the Klingler–Levy analysis in [4–6], in particular over Dedekind-like rings and their homomorphic images. We show that both are undefined in most cases.
PUNINSKAYA V., TOFFALORI, Carlo
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n-COTILTING MODULES AND PURE-INJECTIVITY

Bulletin of the London Mathematical Society, 2004
In [J. Algebra 273, No. 1, 359-372 (2004; Zbl 1051.16007)], the author studied generalizations of the definitions of \(1\)-tilting and \(1\)-cotilting for infinitely generated modules over general rings to modules of higher projective dimension. A left \(R\)-module \(C\) is \(n\)-cotilting if (1) \(C\) has injective dimension \(\leq n\), (2) \(\text ...
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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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