The qudit Pauli group: non-commuting pairs, non-commuting sets, and structure theorems [PDF]
Qudits with local dimension $d \gt 2$ can have unique structure and uses that qubits ($d=2$) cannot. Qudit Pauli operators provide a very useful basis of the space of qudit states and operators.
Rahul Sarkar, Theodore J. Yoder
doaj +1 more source
Relative Galois module structure of rings of integers of cyclomatic fields.
Summary: If \(L\subset M\) are cyclotomic fields, we prove that the ring of integers in \(M\) is a free rank one module over its associated order. The associated order and a Galois generator are explicitly determined. The extension \(M/L\) is not required to be a Kummer extension and in this respect this article improves on existing results.
Lim, Chong-Hai, Chan, Shih-Ping
openaire +1 more source
On the computation of the HNF of a module over the ring of integers of a number field
We present a variation of the modular algorithm for computing the Hermite normal form of an $\mathcal O_K$-module presented by Cohen, where $\mathcal O_K$ is the ring of integers of a number field $K$. An approach presented in (Cohen 1996) based on reductions modulo ideals was conjectured to run in polynomial time by Cohen, but so far, no such proof ...
Jean-François Biasse +2 more
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Enhanced spin wave propagation in magnonic rings by bias field modulation [PDF]
We simulate the spin wave (SW) dynamics in ring structures and obtain the ω − k dispersion relations corresponding to the output waveguide. Different bias field configurations affect the transfer of SW power from one arm of the structure to the other arm.
G. Venkat +6 more
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LINKAGE AND DUALITY OF MODULES [PDF]
Martsinkovsky and Strooker [13] recently introduced module theoretic linkage using syzygy and transpose. This generalization brings possibility of much application of linkage, especially, to homological theory of modules. In the present paper, we connect
Nishida, Kenji, Kenji Nishida
core +1 more source
Research on a new magnetic-field-modulated brushless double-rotor machine with sinusoidal-permeance modulating ring [PDF]
The magnetic-field-modulated brushless double-rotor machine (MFM-BDRM), composed of a stator, a modulating ring rotor, and a PM rotor, is a kind of power-split device for hybrid electric vehicles (HEVs). In this paper, a new MFM-BDRM with sinusoidal-permeance modulating ring named Sinusoidal-Permeance-Modulating-Ring Brushless Double-Rotor Machine ...
Ping Zheng +4 more
openaire +3 more sources
Characterizations of regular local rings via syzygy modules of the residue field [PDF]
Let $R$ be a commutative Noetherian local ring with residue field $k$. We show that if a finite direct sum of syzygy modules of $k$ surjects onto `a semidualizing module' or `a non-zero maximal Cohen-Macaulay module of finite injective dimension', then $R$ is regular.
GHOSH, D, GUPTA, A, PUTHENPURAKAL, TJ
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Degree bounds for projective division fields associated to elliptic modules with a trivial endomorphism ring [PDF]
Let k be a global field, let A be a Dedekind domain with Quot (
Cojocaru, Alina Carmen, Jones, Nathan
openaire +2 more sources
In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
core +1 more source
Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup. [PDF]
Let G be a finite group with a Sylow 2-subgroup P which is either quaternion or semi-dihedral. Let k be an algebraically closed field of characteristic 2.
Mazza, Nadia +2 more
core +4 more sources

