Results 11 to 20 of about 43,448 (306)
Proximinality in generalized direct sums [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We consider proximinality and transitivity of proximinality for subspaces of finite codimension in generalized direct sums of Banach spaces. We give several examples of Banach spaces where proximinality is transitive among subspaces of finite codimension.
Darapaneni Narayana, T. S. S. R. K. Rao
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Direct sums of Rickart modules
Journal of Algebra, 2012 A right \(R\)-module \(M\) with endomorphism ring \(S=\text{End}_R(M)\) is called a Rickart module if the right annihilator in \(M\) of any single element of \(S\) is a direct summand of \(M\). In general, the class of Rickart modules is not closed under direct sums, and it is interesting to study when it has this closure property.
Gangyong Lee +2 more
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Algebraic entropies, Hopficity and co-Hopficity of direct sums of Abelian Groups
Topological Algebra and its Applications, 2015 Necessary and sufficient conditions to ensure that the direct sum of two Abelian groups with zero entropy is again of zero entropy are still unknown; interestingly the same problem is also unresolved for direct sums of Hopfian and co-Hopfian groups.We ...
Goldsmith Brendan, Gong Ketao
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Extended Weyl-Type Theorems for Direct Sums
Demonstratio Mathematica, 2014 In this paper, we study the stability of extended Weyl and Browdertype theorems for orthogonal direct sum S⊕T, where S and T are bounded linear operators acting on Banach space.
Berkani M., Kachad M., Zariouh H.
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On direct sums of Baer modules
Journal of Algebra, 2009 A ring \(R\) is called Baer if the left annihilator of every nonempty subset of \(R\) is generated by an idempotent. In a general module theoretic setting, the concept of a Baer module was defined by the present authors [in Commun. Algebra 32, No. 1, 103-123 (2004; Zbl 1072.16007)] in terms of its endomorphism ring. Indeed, a right \(R\)-module \(M_R\)
Rizvi, S. Tariq, Roman, Cosmin S.
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Preventing outbreaks in burn units: the role of hygiene compliance and early warning systems [PDF]
Antimicrobial Resistance and Infection ControlBackground and objectives To analyse observations of staff’s hand hygiene, usage of gloves and plastic aprons, and dress code compliance at the Burn Centre, Uppsala University Hospital in Sweden, and to evaluate the association between hygiene non ...
Marie Lindblad +4 more
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Algebraic Properties of Semi-Direct Sums of Rings
Annales Mathematicae SilesianaeLet R be an associative ring not necessarily with unity. We say that R is a semi-direct sum of rings S and I, if R = S + I, where S is a subring of a ring R, I is an ideal of R and S ∩ I = {0}.
Nowakowska Marta
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DIRECT SUMS OF INFINITELY MANY KERNELS [PDF]
Journal of the Australian Mathematical Society, 2010 AbstractLet 𝒦 be the class of all rightR-modules that are kernels of nonzero homomorphisms φ:E1→E2for some pair of indecomposable injective rightR-modulesE1,E2. In a previous paper, we completely characterized when two direct sumsA1⊕⋯⊕AnandB1⊕⋯⊕Bmof finitely many modulesAiand Bjin 𝒦 are isomorphic.
ECEVIT S, FACCHINI, ALBERTO, KOSAN M. T.
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Intuitionistic fuzzy G-modules with respect to norms (T and S) [PDF]
Notes on IFS, 2023 In this paper, we introduced intuitionistic fuzzy G-modules on M under norms (t-norm T and s-conorm S) and some related results like intersection, sum and direct sum of them has also been discussed.
Rasul Rasuli
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On the joint continuity of module multiplication [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 Let A be any topological algebra over R or C. We show that the property of a topological left (right or two-sided) A-module to have a jointly continuous action of A is inherited by submodules, quotient modules, completion, direct products, direct sums ...
Mart Abel
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