Results 91 to 100 of about 861,658 (327)
Rings all of whose additive group endomorphisms are left multiplications
Motivated by Cauchy's functional equation f(x+y)=f(x)+f(y), we study in §1 special rings, namely, rings for which every endomorphism f of their additive group is of the form f(x)≡ax. In §2 we generalize to R algebras (R a fixed commutative ring) and give
Michael I. Rosen, Oved shisha
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Mechanisms of parasite‐mediated disruption of brain vessels
Parasites can affect the blood vessels of the brain, often causing serious neurological problems. This review explains how different parasites interact with and disrupt these vessels, what this means for brain health, and why these processes matter. Understanding these mechanisms may help us develop better ways to prevent or treat brain infections in ...
Leonor Loira +3 more
wiley +1 more source
Second cohomology of Lie rings and the Schur multiplier [PDF]
We exhibit an explicit construction for the second cohomology group$H^2(L, A)$ for a Lie ring $L$ and a trivial $L$-module $A$.We show how the elements of $H^2(L, A)$ correspond one-to-one to theequivalence classes of central extensions of $L$ by $A ...
Max Horn, Seiran Zandi
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1,1′-Bis(1-acetyl-5-methyl-1H-pyrazol-3-yl)ferrocene
The title compound, [Fe(C11H11N2O)2], crystallizes with two independent molecules in the asymmetric unit which have have different conformations. In one molecule, the two ferrocene cyclopentadienyl rings are fully eclipsed and the two pyrazole rings are ...
Bei-Bei Zhu +3 more
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Time after time – circadian clocks through the lens of oscillator theory
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
wiley +1 more source
(E)-Ethyl 3-(2-fluoroanilino)-2-(4-methoxyphenyl)acrylate
The title compound, C18H18FNO3, consists of three individually planar subunits, namely two substituted benzene rings and one aminoacrylate group. The dihedral angle between the two benzene rings is 47.48 (8)°.
Hai-Liang Zhu +3 more
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The newfound relationship between extrachromosomal DNAs and excised signal circles
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
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In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
A Note on the Square Subgroups of Decomposable Torsion-Free Abelian Groups of Rank Three
A hypothesis stated in [16] is confirmed for the case of associative rings. The answers to some questions posed in the mentioned paper are also given. The square subgroup of a completely decomposable torsion-free abelian group is described (in both cases
Woronowicz Mateusz
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