Results 81 to 90 of about 82,482 (245)
, 2023 We modify the axioms of triangulated categories to include both higher triangles and distinguished maps of higher triangles. The distinguished maps are specializations of Neeman's ``good'' maps of $2$-triangles.
Alzubaidi, Husniyah, Maciocia, Antony
core
Advanced Materials, EarlyView.Mechanically origami‐coded 3D kirigami photovoltaics convert a single extension–release cycle into deterministic self‐folding, reconfiguring planar solar cells into programmable 3D modules. Distinct coding strategies enable either ultrahigh stretchability (500% system strain) or ultrahigh initial effective areal coverage (225%).
Seok Joon Hwang +15 more
wiley +1 more source
Adjoint functors and triangulated categories
, 2007 We give a construction of triangulated categories as quotients of exact categories where the subclass of objects sent to zero is defined by a tripe of functors. This includes the cases of homotopy and stable module categories.
Grime, M
core
On the uniqueness of stratifications of derived module categories
, 2012 Recollements of triangulated categories may be seen as exact sequences of such categories. Iterated recollements of triangulated categories are analogues of geometric or topological stratifications and of composition series of algebraic objects.
ANGELERI, LIDIA +5 more
core +1 more source
Phase Engineering of Atomically Precise Nanoclusters (APNCs) of Gold and Beyond
Advanced Materials, EarlyView.Engineering the structural phase of materials is of paramount importance for both fundamental research and practical applications. In this Review, we summarize the recent progress in controlling the phases of atomically precise nanoclusters (APNCs) of gold, silver and copper, as well as bimetallic systems. The phase‐enabled material properties of APNCs
Yitong Wang +4 more
wiley +1 more source
Derived equivalences of varieties and Torelli-type questions for derived categories and Chow theory
, 2016 This is a report on joint work with Martin Olsson. I will review the basic results on equivalences of the derived categories of coherent sheaves on smooth projective varieties and discuss some attempts to use them to produce Torelli theorems in positive ...
Lieblich, Max
core
Advanced Materials, EarlyView.A dual‐timescale reservoir based on monolithically 3D (M3D)‐integrated CNT solid ion‐gated transistors is demonstrated. Tunable ionic dynamics and pulse‐engineered operation enable linear and symmetric synaptic updates. The M3D‐integrated array achieves robust temporal encoding and accurate classification of moving MNIST sequences, highlighting its ...
Haksoon Jung +9 more
wiley +1 more source
Grothendieck Group Decategorifications and Derived Abelian Categories
, 2015 The Grothendieck group is an interesting invariant of an exact category. It induces a decategorication from the category of essentially small exact categories (whose morphisms are exact functors) to the category of abelian groups.
McBride, Aaron
core +2 more sources
Emergent Spin Supersolids in Frustrated Quantum Materials
Advanced Materials, EarlyView.This review highlights developments in the study of spin super‐solids in frustrated quantum materials. Advanced experimental characterizations and computational studies enable a comprehensive understanding of the driving mechanisms of spin super‐solidity in various layered transition‐metal compounds, bridging materials, experiments, and theory aspects.
Yixuan Huang +2 more
wiley +1 more source