Structure of pure-injective abelian groups
, 2020 In this thesis, we study the structure of the pure-injective abelian groups. We de- scribe some equivalent characterizations of the pure-injective modules.
Jankovec, Filip
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Symmetry analysis, dynamical behavior, and conservation laws of the dual-mode nonlinear fluid model
Ain Shams Engineering JournalThe study aims to analyze conservation laws and dynamics of the dual-mode Gardner equation for ideal fluid models. Lie symmetry analysis is applied to find symmetry generators, which in turn describe translation symmetries and abelian algebra. Lie theory
Adil Jhangeer, Beenish, Lubomír Říha
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Abelian ideals of Borel subalgebras and affine Weyl groups
Advances in Mathematics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PAPI, Paolo, Paola Cellini
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On abelian subalgebras and ideals of maximal dimension in supersolvable Lie algebras [PDF]
, 2014 In this paper, the main objective is to compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional supersolvable Lie algebras.
Towers, David +3 more
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A Structural Approach to Relativistic Symmetry: Dual Relativity and the Lorentz–Heisenberg Algebra
MathematicsThis paper studies a realization-theoretic problem inside the standard Lorentz-covariant Fourier-dual framework on L2(R3,1): whether position-space and momentum-space geometric translations can be placed on equal structural footing without leaving the ...
Daniel Rothbaum
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Chiral transition in a non-abelian quasi-particle model with three quark flavours
Physics Letters BWe combine the recently introduced Non-Abelian Quasi-Particle Model (NAQPM) for gluons with an ideal Fermi gas of three quark species with the aim to describe the equation of state (energy density vs.
E.P. Politis, A. Tsapalis, F.K. Diakonos
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Abelian varieties over finite fields with commutative endomorphism algebra: theory and algorithms
Minor revisions; correcting an error in Section 2We give a categorical description of all abelian varieties with commutative endomorphism ring over a finite field with $q=p^a$ elements in a fixed isogeny class in terms of pairs consisting of a fractional
Marseglia, Stefano +2 more
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Subgroups of an abelian group, related ideals of the group ring, and quotients by those ideals
CoRR, 2019 Let $RG$ be the group ring of an abelian group $G$ over a commutative ring $R$ with identity. An injection $Φ$ from the subgroups of $G$ to the non-unit ideals of $RG$ is well-known. It is defined by $Φ(N)=I(R,N)RG$ where $I(R,N)$ is the augmentation ideal of $RN$, and each ideal $Φ(N)$ has a property : $RG/Φ(N)$ is $R$-algebra isomorphic to $R(G/N ...
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A class number formula for elementary-abelian-group rings
, 1981 Let G be an elementary abelian group of order lk, where l is an odd prime. The order of the “odd part” of the class group Cl(ZG) of the integral group ring ZG is shown to be the “odd part” of the index of a Stickelberger ideal in the group ring ZC, where
McCulloh, Leon R.
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On the Cyclotomic Unit Group and the Ideal Class Group of a Real Abelian Number Field II
, 1997 LetKbe a real abelian number field satisfying certain conditions andKnthenth layer of the cyclotomic Zp-extension ofK. We study the relation between thep-Sylow subgroup of the ideal class group and that of the unit group module the cyclotomic unit group ...
Ozaki, Manabu
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