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Fix a prime number l. Graphs of isogenies of degree a power of l are well-understood for elliptic curves, but not for higher-dimensional abelian varieties. We study the case of absolutely simple ordinary abelian varieties over a finite field. We analyse gr ...
Recall that a rng is a ring which is possibly non-unital. In this note, we address the problem whether every finitely generated idempotent rng (abbreviated as irng) is singly generated as an ideal. It is well-known that it is the case for a commutative irn ...
The magnetism of a metallic two-dimensional triangular antiferromagnetic (AF) compound, Ag2CrO2, has been investigated by muon-spin rotation and relaxation (mu+SR) using a powder sample in the temperature range between 1.8 and 40 K. Below T-N = 24 K, a muo ...
In homological algebra, to understand commutative rings R, one studies R-modules, chain complexes of R-modules and their monoids, the differential graded R-algebras. The category of R-modules has a rich structure, but too rigid to efficiently work with hom ...
We created a high-throughput modality of photoactivated localization microscopy (PALM) that enables automated 3D PALM imaging of hundreds of synchronized bacteria during all stages of the cell cycle. We used high-throughput PALM to investigate the nanoscal ...
The magnetism of a metallic two-dimensional triangular antiferromagnetic (AF) compound, Ag2CrO2, has been investigated by muon-spin rotation and relaxation (mu+SR) using a powder sample in the temperature range between 1.8 and 40 K. Below T-N = 24 K, a muo ...