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We study classes of modules over a commutative ring which allow to do homological algebra relative to such a class. We classify those classes consisting of injective modules by certain subsets of ideals. When the ring is Noetherian the subsets are precisel ...
In the last five years, organo lead halide perovskites have emerged as a new and efficient player in the field of photovoltaics, jumping in a short time to an advanced front position. This class of materials has also shown proficient light emission capabil ...
In this article we prove that there exists a Dixmier map for nilpotent super Lie algebras. In other words, if we denote by Prim(U(g)) the set of (graded) primitive ideals of the enveloping algebra U(g) of a nilpotent Lie superalgebra g and Ad0 the adjoint ...
Organic semiconductors have emerged in the past two decades as promising materials for many technological applications. Thanks to their unique optoelectronic properties, they represent an ideal system to mimic natural photoreceptor functioning. This simila ...
Graphene, as a semimetal with the largest known thermal conductivity, is an ideal system to study the interplay between electronic and lattice contributions to thermal transport. While the total electrical and thermal conductivity have been extensively inv ...
Chip-scale optical microresonators with integrated planar optical waveguides are useful building blocks for linear, nonlinear, and quantum-optical photonic devices alike. Loss reduction through improving fabrication processes results in several integrated ...
We prove that the multiplier algebra of the Drury-Arveson Hardy space H-n(2) on the unit ball in C-n has no corona in its maximal ideal space, thus generalizing the corona theorem of L. Carleson to higher dimensions. This result is obtained as a corollary ...
A CMOS compatible Ge photodetector (Ge-PD) fabricated on Si substrates has been shown to be suitable for near infrared (NIR) sensing; linear and avalanche detection, in both proportional and Geiger modes have been demonstrated, for photon counting at room ...
We present an algorithm for generating all polynomial invariants of P-solvable loops with assignments and nested conditionals. We prove termination of our algorithm. The proof relies on showing that the dimensions of the prime ideals from the minimal decom ...
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Let p be an arbitrary prime and let P be a finite p-group. The general objective of this paper is to obtain refined information on the homotopy type of the poset of all non-trivial elementary abelian subgroups of P, ordered by inclusion, and the poset of a ...
