Results 41 to 50 of about 9,960,876 (189)

Homological Algebra for Superalgebras of Differentiable Functions [PDF]

, 2012
This is the second in a series of papers laying the foundations for a differential graded approach to derived differential geometry (and other geometries in characteristic zero). In this paper, we extend the classical notion of a dg-algebra to define, in
Sub Algebra,Geometry&Mathem. Logic begr., Roytenberg, D., Carchedi, D.J.   +2 more
core   +1 more source

Theory of Supercritical Coupling and Generalized Bound States in the Continuum

Laser &Photonics Reviews, EarlyView.
We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri, Bruno Miranda, Silvia Romano, Gianluigi Zito   +3 more
wiley   +1 more source

Irreducible highest weight representations of the simple n-Lie algebra [PDF]

, 2012
A. Dzhumadil’daev classified all irreducible finite dimensional representations of the simple n-Lie algebra. Using a slightly different approach, we obtain in this paper a complete classification of all irreducible, highest weight modules, including the ...
Dana Bălibanu, Balibanu, D.M., van de Leur, J.W., Sub Algebra,Geometry&Mathem. Logic begr., Algebra & Geometry and Mathematical Locic, Johan van de Leur   +5 more
core   +1 more source

Generating Helical Polymorphic Beams Using Dielectric Metasurfaces

Laser &Photonics Reviews, EarlyView.
Helix‐shaped polymorphic beams are optical fields whose intensity maxima spiral around the propagation axis, enabling particle manipulation through attractive or repulsive forces. Traditionally requiring expensive spatial light modulators, metasurfaces now provide a compact, cost‐effective alternative. This work demonstrates general helical polymorphic
Maryam Setareh, Yang Xu, Jose A. Rodrigo, Kenneth B. Crozier   +3 more
wiley   +1 more source

Monoids with tests and the algebra of possibly non-halting programs [PDF]

, 2015
We study the algebraic theory of computable functions, which can be viewed as arising from possibly non-halting computer programs or algorithms, acting on some state space, equipped with operations of composition, if-then-else and while-do defined in ...
Marcel Jackson, Stokes, Tim E., Tim Stokes, Jackson, Marcel   +3 more
core   +1 more source

The existence of states on every Archimedean atomic lattice effect algebra with at most five blocks [PDF]

, 2008
summary:Effect algebras are very natural logical structures as carriers of probabilities and states. They were introduced for modeling of sets of propositions, properties, questions, or events with fuzziness, uncertainty or unsharpness.
Riečanová, Zdenka
core   +1 more source

Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds

Mathematische Nachrichten, EarlyView.
ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke, Laure Flapan, Sarah Frei, Lisa Marquand   +3 more
wiley   +1 more source

On the (un)decidability of a near-unanimity term [PDF]

, 2007
We investigate the near-unanimity problem: given a finite algebra, decide if it has a near-unanimity term of finite arity. We prove that it is undecidable of a finite algebra if it has a partial near-unanimity term on its underlying set excluding two ...
Maróti, Miklós
core   +1 more source

ARCHIMEDEAN AND BLOCK-FINITE LATTICE EFFECT ALGEBRAS

Demonstratio Mathematica, 2000
An effect algebra is a set \(E\) containing two distinguished elements 0, 1 and equipped with a partial commutative associative operation \(\oplus\) such that \(\forall a\in E\;\exists! b\in E: a\oplus b=1\) and \(1\oplus a\) is defined iff \(a=0\).
openaire   +2 more sources

Purely Coclosed G2‐Structures on Nilmanifolds—II

Mathematische Nachrichten, EarlyView.
ABSTRACT This paper completes the classification of seven‐dimensional nilpotent Lie groups endowed with a left‐invariant purely coclosed G2$\text{G}_2$‐structure, initiated in Bazzoni et al. [Mathematische Nachrichten 296 no. 6 (2023): 2236–2257], the authors provided the classification of decomposable seven‐dimensional nilpotent Lie groups and of the ...
Giovanni Bazzoni, Giorgia Petracci
wiley   +1 more source