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Distributive Properties of Q−neutrosophic Soft Quasigroups [PDF]
Neutrosophic Sets and Systems, 2023 The Q−neutrosophic soft quasigroup is a mathematical innovation for dealing with indeterminate occurrences. The characterization of quasigroups using the concept of Q−neutrosophic soft set is an evolving area of study that, in recent times, has attracted
Oyobo Tunde Yakub +2 more
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Quasi-quadratic modules in valuation rings and valued fields
Acta Mathematica Hungarica, 2023 41pages, 1 figure, Preprint submitted to a ...
Fujita, M., Kageyama, M.
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Stanley–Reisner rings and the occurrence of the Steinberg representation in the hit problem
Comptes Rendus. Mathématique, 2022 A result of G. Walker and R. Wood states that the space of indecomposable elements in degree $2^n-1-n$ of the polynomial algebra $\mathbb{F}_2[x_1,\,\ldots ,\,x_n]$, considered as a module over the mod 2 Steenrod algebra, is isomorphic to the Steinberg ...
Hai, Nguyen Dang Ho
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Free field primaries in general dimensions: counting and construction with rings and modules [PDF]
Journal of High Energy Physics, 2018 Abstract We define lowest weight polynomials (LWPs), motivated by so(d, 2) representation theory, as elements of the polynomial ring over d × n variables obeying a system of first and second order partial differential equations. LWPs invariant under S n correspond to primary fields in free ...
Koch, RDM, Ramgoolam, S
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Algebraic Properties of Quasigroup Under Q-neutrosophic Soft Set [PDF]
Neutrosophic Sets and SystemsThe novel concept called neutrosophic set was launched to take care of indeterminate factors in real-life data. The hybrid model of neutrosophic set and soft set has been widely studied in different areas of algebra, especially in associative structures ...
Benard Osoba +2 more
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Soft substructures of rings, fields and modules
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akin Osman Atagün, Aslihan Sezgin
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The qudit Pauli group: non-commuting pairs, non-commuting sets, and structure theorems [PDF]
QuantumQudits 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
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Relative Galois module structure of rings of integers of cyclomatic fields.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1993 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
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On the computation of the HNF of a module over the ring of integers of a number field
Journal of Symbolic Computation, 2017 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]
AIP Advances, 2017 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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