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On some closure-preserved properties
Archiv der Mathematik, 1987The purpose of this paper is to show that, in a group G with unique roots, certain group-theoretic properties of a subgroup H are preserved when one considers the closure of H in G. Several such properties going from nilpotency to local nilpotency are studied from this point of view. Some consequences for group localization are also indicated.
Cassidy, Charles, Levesque, Moren
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Closure property for free electrons
International Journal of Quantum Chemistry, 1993AbstractSome operators considered conventionally as Hermitian are not strictly Hermitian for the freeelectron states known especially in the case of solids. The consequences of this fact on the closure property are examined. © 1993 John Wiley & Sons, Inc.
D. Brzeska, S. Olszewski
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Conditional and Closure Properties
2001The union theorem, introduced in section 8.2.3, is the main tool for the study of asynchronous compositions of programs. The major virtue of this theorem is that it provides a simple rule for deducing the co-properties and transient predicates of a system from those of its component boxes. The major shortcoming is that it does not provide a simple rule
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2022
Let C be a class of modules and L = lim C the class of all direct limits of modules from C. The class L is well understood when C consists of finitely presented modules: L then enjoys various closure properties. We study the closure properties of L in the general case when C is arbitrary class of modules. Then we concentrate on two important particular
Positselski, L. (Leonid) +2 more
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Let C be a class of modules and L = lim C the class of all direct limits of modules from C. The class L is well understood when C consists of finitely presented modules: L then enjoys various closure properties. We study the closure properties of L in the general case when C is arbitrary class of modules. Then we concentrate on two important particular
Positselski, L. (Leonid) +2 more
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Basic Properties of Closure Operators
1995Categorical closure operators as defined in this chapter for any category with a suitable subobject structure provide simultaneously a coherent closure operation for the subobjects of each object of the category. The notions of closedness and denseness associated with a closure operator are discussed from a factorization point of view.
D. Dikranjan, W. Tholen
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Alternative therapeutic strategies to treat antibiotic-resistant pathogens
Nature Reviews Microbiology, 2023Craig R Macnair, Steven T Rutherford
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Structure–property–function relationships of natural and engineered wood
Nature Reviews Materials, 2020Chaoji Chen, Yudi Kuang, Shuze Zhu
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