Results 61 to 70 of about 1,563,307 (153)
Counting sums of exceptional units in $ \mathbb{Z}_n $
AIMS MathematicsLet $ R $ be a commutative ring with the identity $ 1_{R} $, and let $ R^* $ be the multiplicative group of units in $ R $. An element $ a\in R^* $ is called an exceptional unit if there exists a $ b\in R^* $ such that $ a+b = 1_{R} $.
Junyong Zhao
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Unit Groups of Some Group Rings [PDF]
arXiv, 2020 Let $RG$ be the gruop ring of the group $G$ over ring $R$ and $\mathscr{U}(RG)$ be its unit group. Finding the structure of the unit group of a finite group ring is an old topic in ring theory. In, G. Tang et al: Unit Groups of Group Algebras of Some Small Groups. Czech. Math. J. 64 (2014), 149--157, the structure of the unit group of the group ring of
arxiv
Combinatorial Sutured TQFT as Exterior Algebra [PDF]
, 2012 The idea of a sutured topological quantum field theory was introduced by Honda, Kazez and Mati\'c (2008). A sutured TQFT associates a group to each sutured surface and an element of this group to each dividing set on this surface.
Fink, Evan
core
GINZBURG-LANDAU THEORY OF VORTICES IN $d$-WAVE SUPERCONDUCTORS
, 1995 Ginzburg-Landau theory is used to study the properties of single vortices and of the Abrikosov vortex lattice in a $d_{x^2-y^2}$ superconductor. For a single vortex, the $s$-wave order parameter has the expected four-lobe structure in a ring around the ...
A. A. Abrikosov +19 more
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Deep neural network-based automatic metasurface design with a wide frequency range
Scientific Reports, 2021 Beyond the scope of conventional metasurface, which necessitates plenty of computational resources and time, an inverse design approach using machine learning algorithms promises an effective way for metasurface design.
Fardin Ghorbani +5 more
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Symmetric Hubbard Systems with Superconducting Magnetic Response
, 2003 In purely repulsive, $C_{4v}$-symmetric Hubbard clusters a correlation effect produces an effective two-body attraction and pairing; the key ingredient is the availability of W=0 pairs, that is, two-body solutions of appropriate symmetry.
Callegari, Agnese +3 more
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On feedback invariants for linear dynamical systems [PDF]
, 2001 The goal of this paper is to prove that, if R is a commutative ring containing a (non-zero) finitely generated maximal ideal M containing its annihilator, such that every unit of R/M lifts to a unit of R, then the category of reachable systems over R is “
Brewer, James, Klingler, Lee
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The Brauer group of Burnside rings [PDF]
J. Algebra 324 (2010) 2589-2593, 2020 The Brauer group of a commutative ring is an important invariant of a commutative ring, a common journeyman to the group of units and the Picard group. Burnside rings of finite groups play an important role in representation theory, and their groups of units and Picard groups have been studied extensively.
arxiv
The Measured Electric Field Spatial Distribution within a Metamaterial Sub-Wavelength Cavity Resonator [PDF]
, 2007 Through experimental investigation, a thin subwavelength cavity resonator was physically realized using a bilayer structure composed of air and a negative permeability metamaterial structure one unit cell in thickness.
Cummer, Steven A +2 more
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Pólya fields and Kuroda/Kubota unit formula
Mathematics Open, 2023 Let K be a number field. The Pólya field concept is used to know when the module of integer-valued polynomials over the ring of integers [Formula: see text] of K has a regular basis. In [C. W.-W.
Charles Wend-Waoga Tougma
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