Results 41 to 50 of about 16,757 (142)
Absolute subretracts and weak injectives in congruence modular varieties [PDF]
Absolute subretracts and weak injectives in congruence modular varieties of universal algebras are investigated by focusing attention on the directly indecomposibles. The proofs rely on a congruence modular version of generalized direct products (direct products with amalgamation) and on the generalized Jónsson Lemma for congruence modular varieties ...
Davey, Brian A., Kovács, L. G.
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Gorenstein algebras presented by quadrics [PDF]
We establish restrictions on the Hilbert function of standard graded Gorenstein algebras with only quadratic relations. Furthermore, we pose some intriguing conjectures and provide evidence for them by proving them in some cases using a number of ...
Migliore, Juan, Nagel, Uwe
core
The ξ, ζ-Dunford Pettis property
Using the hierarchy of weakly null sequences introduced in [2], we introduce two new families of operator classes. The first family simultaneously generalizes the completely continuous operators and the weak Banach-Saks operators.
Ryan M. Causey
doaj
On weak-injective modules over integral domains
Let \(R\) be a fixed integral domain. Weak-injective \(R\)-modules \(M\) have been defined as modules satisfying \(\mathrm{Ext}_{R}^{1}(W,M)=0\) for all \(R\)-modules \(W\) of weak dimension \(\leq 1\) [\textit{S. B. Lee}, Comm. Algebra 34, 361--370 (2006; Zbl 1094.13012)] and it was shown that \(h\)-divisible pure-injective \(R\)-modules are always ...
Fuchs, László, Lee, Sang Bum
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ASPECTS OF WEAK, s-CS AND ALMOST INJECTIVE RINGS
It is not known whether right CF-rings (FGF-rings) are right artinian (quasi-Frobenius). This paper gives a positive answer of this question in the case of weak CS (s-CS) and GC2 rings. Also we get some new results on almost injective rings.
Zeyada, Nasr, Amin, Amr
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Rings with finite n-Weak injective dimension and (n,k)-Weak cotorsion modules
Let R be a ring and n,k be two non-negative integers. As an extension of several known notions, we introduce and study (n,k)-weak cotorsion modules using the class of right R-modules with n-weak flat dimensions at most k. Various examples and applications are also given.
Amini, Mostafa +2 more
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The extra-weak chemiluminescence (CL) of the antitumor antibiotic neocarzinostatin (NCS) in buffer was measured in order to evaluate the stability of NCS injection. Under conditions where NCS is labile, such as heat treatment, high pH or the presence of a thiol compound, NCS generated higher extra-weak CL than under conditions where it is stable (0.1M ...
K, Edo +5 more
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Weak Dimension of FP-injective Modules Over Chain Rings [PDF]
It is proven that the weak dimension of each FP-injective module over a chain ring which is either Archimedean or not semicoherent is less or equal to 2.
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Foxby equivalence relative to $C$-weak injective and $C$-weak flat modules
Let $S$ and $R$ be rings and $_SC_R$ a (faithfully) semidualizing bimodule. We introduce and study $C$-weak flat and $C$-weak injective modules as a generalization of $C$-flat and $C$-injective modules (J. Math. Kyoto Univ. 47(2007), 781-808) respectively, and use them to provide additional information concerning the important Foxby equivalence between
Gao, Zenghui, Zhao, Tiwei
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