Results 31 to 40 of about 34,889 (238)
Summands of finite rank torsion free abelian groups
Journal of Algebra, 1974 AbstractA finite rank torsion free abelian group has, up to isomorphism, only finitely many summands.
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Dualities for torsion-free abelian groups of finite rank
Journal of Algebra, 1990 All groups considered here are torsion-free abelian groups of finite rank. Let F be a full free subgroup of such a group G. The finite outer type of G, FOT(G), is \((...,\pi_ p,...)\), where \(p^{\pi_ p}\) is the order of a maximal cyclic summand in the p-component of the reduced part of G/F.
Vinsonhaler, C, Wickless, W
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Advanced Functional Materials, EarlyView.Cephalopod‐inspired photonic microparticles with dynamic structural coloration are fabricated via confined self‐assembly of linear block copolymers into ellipsoids containing stacked lamellae. Embedded superparamagnetic nanoparticles enable rapid magnetic alignment, restoring vivid, angle‐dependent color.
Gianluca Mazzotta +8 more
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Complexity volumes of splittable groups
, 2018 Using graph of groups decompositions of finitely generated groups, we define Euler characteristic type invariants which are non-zero in many interesting classes of finitely presented, hyperbolic, limit and CSA groups, including elementarily free groups ...
Sykiotis, Mihalis
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Completely decomposable direct summands of torsion-free abelian groups of finite rank [PDF]
Proceedings of the American Mathematical Society, 2017 Let $A$ be a finite rank torsion--free abelian group. Then there exist direct decompositions $A=B\oplus C$ where $B$ is completely decomposable and $C$ has no rank 1 direct summand. In such a decomposition $B$ is unique up to isomorphism and $C$ unique up to near-isomorphism.
Mader, Adolf, Schultz, Phill
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Advanced Functional Materials, EarlyView.MagPiezo enables wireless activation of endogenous Piezo1 channels without genetic modification using 19 nm magnetic nanoparticles and low‐intensity magnetic fields. It generates torque forces at the piconewton scale to trigger mechanotransduction in endothelial cells, standing as a novel platform to interrogate and manipulate Piezo1 activity in vitro.
Susel Del Sol‐Fernández +7 more
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Finite rank torsion-free abelian groups uniserial over their endomorphism rings [PDF]
Proceedings of the American Mathematical Society, 1985 An abelian group is E E -uniserial if its lattice of fully invariant subgroups is totally ordered. Finite rank torsion-free reduced E E -uniserial groups are characterized. Such a group is a free module over the center C C of its endomorphism ring, and C C is a strongly ...
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On the linearity of torsion-free nilpotent groups of finite Morley rank [PDF]
Proceedings of the American Mathematical Society, 2008 It is proved that every torsion-free nilpotent group of finite Morley rank is isomorphic to a matrix group over a field of characteristic zero.
Altinel, T, Wilson, J
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A Bioresorbable Neural Interface for On‐Demand Thermal Pain Block
Advanced Functional Materials, EarlyView.Bioresorbable, implantable neural electronics provide dynamic, on‐demand thermal modulation of peripheral nerves for safe, drug‐free pain relief. A microscale thin‐film heater and temperature sensor embedded within biodegradable encapsulants enable precise temperature control via real‐time feedback.
Jeonghwan Park +23 more
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Advanced Healthcare Materials, EarlyView.xx xx. ABSTRACT Osseointegration of orthopedic and dental implants is influenced by local and systemic factors, including their physicochemical surface properties and the patient's overall health status. Titanium and its alloys have been a longstanding standard for bone implants due to their innate biocompatibility and mechanical properties.
Dainelys Guadarrama Bello +2 more
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