Results 91 to 100 of about 70,034 (260)
Tensor and torsion products of injective modules
One proves that for a commutative Noetherian ring \(R\), the following two assertions are equivalent: (a) \(R\) is Gorenstein; (b) for any injective modules \(E,E'\) and any \(i\geq 0\), \(\text{Tor} _ i(E,E')\) is injective.
Enochs, Edgar E., Jenda, Overtoun M.G.
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ABSTRACT Engineering living matter has great clinical potential to deliver functional replacement organs. However, clinical translation remains hampered by the current inability to maintain viability of clinically relevant‐sized constructs. During the pre‐vascular phase, implants rely on nutrient diffusion for survival, which is insufficient at ...
Melvin Gurian +5 more
wiley +1 more source
Tensor product of LA-modules [PDF]
Ahmad M. Alghamdi, Fatiha Sahraoui
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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
wiley +1 more source
This study develops a self‐powered permeable electronic dressing (SPED) that synergistically integrates exudate management, electrical stimulation, and on‐demand drug delivery. The dressing effectively absorbs exudate while demonstrating potent antibacterial activity and accelerated tissue regeneration in diabetic mouse models, thereby promoting ...
Jiaheng Liang +12 more
wiley +1 more source
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
wiley +1 more source
Patient‐specific induced pluripotent stem cells (iPSCs) can be differentiated into alveolar type II cells (iAT2s), expanded as 3D alveolospheres, and grown at physiologically relevant air–liquid interface (ALI). This study shows for the first time the infectability of iAT2s by the influenza A virus (IAV) and proves their responsiveness to the well ...
Lena Gauthier +7 more
wiley +1 more source
Unique Factorization for Tensor Products of Parabolic Verma Modules
Let $\mathfrak{g}$ be a symmetrizable Kac-Moody Lie algebra with Cartan subalgebra $\mathfrak{h}$. We prove a unique factorization property for tensor products of parabolic Verma modules. More generally, we prove unique factorization for products of characters of parabolic Verma modules when restricted to certain subalgebras of $\mathfrak{h}$.
Raghavan, K. N. +3 more
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Membrane fusion‐inspired nanomaterials offer transformative potential in diagnostics by mimicking natural fusion processes to achieve highly sensitive and specific detection of disease biomarkers. This review highlights recent advancements in nanomaterial functionalization strategies, signal amplification systems, and stimuli‐responsive fusion designs,
Sojeong Lee +9 more
wiley +1 more source
Tensor products of Drinfeld modules andv-adic representations
Let \({\mathbf A} = \mathbb{F}_q [T]\). An \({\mathbf A}\)-field is a field \(L\) equipped with a homomorphism \(\iota:{\mathbf A} \to L\). Let \(\tau\) be the \(q\)-th power morphism and \(L\{\tau\}\) the composition ring of ``polynomials'' in \(\tau\); so \(L\{\tau\}\) is the ring of algebraic \(\mathbb{F}_q\)-linear endomorphisms of \(L\).
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