Results 91 to 100 of about 311,330 (338)
Completely simple endomorphism rings of modules
Applied General Topology, 2018 It is proved that if Ap is a countable elementary abelian p-group, then: (i) The ring End (Ap) does not admit a nondiscrete locally compact ring topology.
Victor Bovdi +2 more
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Amenable dynamical systems over locally compact groups [PDF]
, 2021 Alex Bearden, Jason Crann
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Advanced Functional Materials, EarlyView.Fibrous benzenetrispeptide (BTP) hydrogels, fabricated via strain‐promoted azide‐alkyne cycloaddition (SPAAC) crosslinking, form robust, bioinert networks. These hydrogels can support 3D cell culture, where cell viability and colony growth depend on the fiber content.
Ceren C. Pihlamagi +5 more
wiley +1 more source
Tensor products of commutative Banach algebras
International Journal of Mathematics and Mathematical Sciences, 1982 Let A1, A2 be commutative semisimple Banach algebras and A1⊗∂A2 be their projective tensor product. We prove that, if A1⊗∂A2 is a group algebra (measure algebra) of a locally compact abelian group, then so are A1 and A2. As a consequence, we prove that,
U. B. Tewari, M. Dutta, Shobha Madan
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Local cross sections in locally compact groups [PDF]
Proceedings of the American Mathematical Society, 1953 Introduction. Let p be the natural projection of the topological group G, with subgroup H, onto the coset space G/H. The subgroup H is said to have a local cross section if there exists an open set U in G/H, and a continuous function f defined on U with values in G such that pf(x) x for x in U.
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Advanced Functional Materials, EarlyView.Dual‐cation site engineering unlocks stable and fast sodium storage in Na4VMn(PO4)3 cathodes. Li+ at Na2 suppresses Jahn‐Teller distortion, while K+ at Na1 expands ion channels, enabling synchronized V/Mn redox and quasi‐single‐phase kinetics. This atomic‐level strategy achieves ultralong cycling stability, high‐rate capability, and full cell viability
Jiaze Sun +8 more
wiley +1 more source
Totally disconnected locally compact groups locally of finite rank
, 2015 We study totally disconnected locally compact second countable (t.d.l.c.s.c.) groups that contain a compact open subgroup with finite rank. We show such groups that additionally admit a pro-$\pi$ compact open subgroup for some finite set of primes $\pi ...
Wesolek, Phillip
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Advanced Functional Materials, EarlyView.Inspired by the skin‐toughening mechanism of marine sponges, an ion‐orchestrated structural engineering strategy is proposed to regulate the surface microstructure of hydrogel coatings, enabling the in situ formation of a robust armor layer that enhances mechanical integrity and provides multifunctional protection by suppressing fouling attachment and ...
Wenshuai Yang +11 more
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Topological groups: local versus global
Applied General Topology, 2006 It is well known that locally compact groups are paracompact. We observe that this theorem can be generalized as follows: every locally paracompact group is paracompact. We prove a more general version of this statement using quotients.
A.V. Arhangelskii, Vladimir V. Uspenskij
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A property of the lamplighter group
Topological Algebra and its Applications, 2020 We show that the inert subgroups of the lamplighter group fall into exactly five commensurability classes. The result is then connected with the theory of totally disconnected locally compact groups and with algebraic entropy.
Castellano I. +2 more
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