Derivations of group rings
arXiv:2003.01346 · doi:10.1016/j.physletb.2020.135830
Abstract
Let R[G] be the group ring of a group G over an associative ring R with unity such that all prime divisors of orders of elements of G are invertible in R. If R is finite and G is a Chernikov (torsion FC-) group, then each R-derivation of R[G] is inner. Similar results also are obtained for other classes of groups G and rings R.
17 pages
References in corpus (55)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- Background Independent Quantum Gravity: A Status Report
- The fuzzball proposal for black holes: an elementary review
- Universality of Quantum Gravity Corrections
- Discreteness of Space from the Generalized Uncertainty Principle
- Better Late than Never: Information Retrieval from Black Holes
- A proposal for testing Quantum Gravity in the lab
- Universailty of Low Energy Absorption Cross-sections for Black Holes
- When conceptual worlds collide: The GUP and the BH entropy
- Fundamental Structure of Loop Quantum Gravity
- Phenomenological Implications of the Generalized Uncertainty Principle
- Generalized Uncertainty Principle: Approaches and Applications
- Space-Time Structure of Loop Quantum Black Hole
- Loop Quantum Cosmology: An Overview
- Canonical Quantization of Spherically Symmetric Gravity in Ashtekar's Self-Dual Representation
- Corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
- Quantum corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
- Quantum corrected black holes: quasinormal modes, scattering, shadows
- Scattering of massless scalar waves by Reissner-Nordström black holes
- Spherical black holes with regular center: a review of existing models including a recent realization with Gaussian sources
- Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
- Fermion scattering by a Schwarzschild black hole
- Thermodynamic phase transition of a black hole in rainbow gravity
- Self-dual Black Holes in LQG: Theory and Phenomenology
- Fermion absorption cross section of a Schwarzschild black hole
- Absorption of a massive scalar field by a charged black hole
- Constraints on the Generalized Uncertainty Principle from Black Hole Thermodynamics
- Absorption and scattering of a noncommutative black hole
- Can we observe fuzzballs or firewalls?
- Scattering of Sound Waves by a Canonical Acoustic Hole
- Corrections to entropy and thermodynamics of charged black hole using generalized uncertainty principle
- Scattering by regular black holes: Planar massless scalar waves impinging upon a Bardeen black hole
- Effect of Scalar Mass in the Absorption and Emission Spectra of Schwarzschild Black Hole
- Formation of dark energy stars
- Scattering by a draining bathtub vortex
- Proof of universality for the absorption of massive scalars by the higher-dimensional Reissner-Nordström black holes
- Scattering of Long-Wavelength Gravitational Waves
- Analogue Aharonov-Bohm effect in a Lorentz-violating background
- Perturbation Theory Calculation of the Black Hole Elastic Scattering Cross Section
- Gravitational Aharonov-Bohm effect due to noncommutative BTZ black hole
- Fermions tunneling from higher-dimensional charged AdS black hole in dRGT massive gravity within modified dispersion relation
- Partial wave analysis of the Dirac fermions scattered from Schwarzschild black holes
- Quantum tunneling radiation from self-dual black holes
- Analogue Aharonov-Bohm effect in neo-Newtonian theory
- Noncommutative analogue Aharonov-Bohm effect and superresonance
- Minimum length effects in black hole physics
- Scalar waves in regular Bardeen black holes: Scattering, absorption and quasinormal modes
- A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations
- Some Astrophysical Aspects of a Schwarzschild Geometry Equipped with a Minimal Measurable Length
- Scattering of spherically symmetric d-dimensional alpha'-corrected black holes in string theory
- Scalar scattering from black holes with tidal charge
- An exact time-dependent interior Schwarzschild solution
- Absorption and scattering of a self-dual black hole
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