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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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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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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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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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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 reflexivity of direct sums [PDF]
Proceedings of the American Mathematical Society, 2000 Summary: Necessary and sufficient conditions are presented to insure that the direct sum of two reflexive representations of a finite-dimensional algebra is reflexive, and it is shown that for each such algebra, there is an integer \(k\) such that the direct sum of \(k\) copies of each of its representations is reflexive.
Camillo, V. P., Fuller, K. R.
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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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Sums of slices in direct sums of Banach spaces; pp. 8–10 [PDF]
Proceedings of the Estonian Academy of Sciences, 2014 Motivated by recent studies on the strong diameter 2 property, we exhibit a simple reason why, in many direct sums of Banach spaces, the arithmetic mean of two slices may have diameter less than 2.
Eve Oja
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Distributive lattices with strong endomorphism kernel property as direct sums [PDF]
Categories and General Algebraic Structures with Applications, 2020 Unbounded distributive lattices which have strong endomorphism kernel property (SEKP) introduced by Blyth and Silva in [3] were fully characterized in [11] using Priestley duality (see Theorem 2.8}). We shall determine the structure of special elements (
Jaroslav Gurican
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