Rings with the minimum condition for principal right ideals have the maximum condition for principal left ideals

1969 ◽  
Vol 113 (2) ◽  
pp. 106-112 ◽  
Author(s):  
David Jonah
Keyword(s):  
Minimum Condition ◽  
Maximum Condition

scholarly journals A Note on a Self Injective Ring

1965 ◽  
Vol 8 (1) ◽  
pp. 29-32 ◽  
Author(s):  
Kwangil Koh
Keyword(s):  
Left Ideal ◽  
Prime Ring ◽  
Minimum Condition ◽  
Maximum Condition ◽  
Simple Ring ◽  
The Right ◽  
Primitive Ring

A ring R with unity is called right (left) self injective if the right (left) R-module R is injective [7]. The purpose of this note is to prove the following: Let R be a prime ring with a maximal annihilator right (left) ideal. If R is right (left) self injective then R is a primitive ring with a minimal one-sided ideal. If R satisfies the maximum condition on annihilator right (left) ideals and R is right (left) self injective then R is a simple ring with the minimum condition on one-sided ideals.

The O2 aurora observed by the TIMED/SABER satellite

2021 ◽  
Author(s):  
Hong Gao ◽  
Jiyao Xu ◽  
Yajun Zhu
Keyword(s):  
Vertical Profile ◽  
Solar Minimum ◽  
Emission Rate ◽  
Solar Maximum ◽  
Peak Height ◽  
Minimum Condition ◽  
Maximum Condition ◽  
Horizontal Structure ◽  
Broadband Emission ◽  
Volume Emission

<p>We studied O<sub>2</sub> aurora based on the observations of O<sub>2</sub> emission at 1.27 μm from the Sounding of the Atmosphere using Broadband Emission Radiometry (SABER) instrument during the nighttime over 18 years. The horizontal structure and vertical profile of O<sub>2</sub> auroral volume emission rate is obtained after removing O<sub>2</sub> nightglow contamination. The O<sub>2</sub> auroral intensity varies between 0.14 and 5.97 kR, and the peak volume emission rate varies between 0.97 × 10<sup>2</sup> and 41.01 × 10<sup>2</sup> photons cm<sup>−3</sup> s<sup>−1</sup>. The O<sub>2 </sub>auroral intensity and peak volume emission rate exponentially increases with increasing Kp index, whereas the peak height decreases with increasing Kp index. The O<sub>2</sub> auroral intensity and peak volume emission rate under solar minimum condition are larger than those under solar maximum condition. The peak height under solar minimum condition is lower than that under solar maximum condition.</p>

On Groups with Chain Conditions

1971 ◽  
Vol 23 (1) ◽  
pp. 151-159
Author(s):  
Bernhard Amberg
Keyword(s):  
Minimum Condition ◽  
Normal Subgroups ◽  
Maximum Condition ◽  
Finiteness Conditions ◽  
Chain Conditions ◽  
Radical Group ◽  
Abelian Subgroups ◽  
Maximum Minimum ◽  
Subnormal Subgroups

Our aim in this note is to generalize results of Baer in [3; 5]. In § 1 an arbitrary formation n is considered, the key result being Proposition 1.5. This is applied in § 2 to characterize various finiteness conditions, for example the classes of groups with maximum [minimum] condition on subgroups, subnormal subgroups, and normal subgroups respectively, or the class of (not necessarily soluble) polyminimax groups (see Theorems 2.1 and 2.6). These results may also be regarded as generalizations of the well-known theorem of Malcev-Baer that a radical group satisfies the maximum condition [is a polyminimax group] if all its abelian subgroups satisfy the maximum condition [are minimax groups].

On a strong minimum condition of a fractal variational principle

2021 ◽  
pp. 107199
Author(s):  
Ji-Huan He ◽  
Na Qie ◽  
Chun-hui He ◽  
Tareq Saeed
Keyword(s):  
Variational Principle ◽  
Minimum Condition

GENERALIZED SYNCHRONIZATION OF CHAOS IN RCL-SHUNTED JOSEPHSON JUNCTIONS BY UNIDIRECTIONALLY COUPLING

2010 ◽  
Vol 24 (29) ◽  
pp. 5675-5682 ◽  
Author(s):  
YU-LING FENG ◽  
XI-HE ZHANG ◽  
ZHI-GANG JIANG ◽  
KE SHEN
Keyword(s):  
Lyapunov Exponent ◽  
Numerical Simulations ◽  
Josephson Junctions ◽  
System Approach ◽  
Chaotic Synchronization ◽  
Auxiliary System ◽  
Generalized Synchronization ◽  
Maximum Condition ◽  
Two Systems

This paper investigates chaotic synchronization in the generalized sense in two resistive-capacitive-inductive-shunted (RCL-shunted) Josephson junctions (RCLSJJs) by using the means of unidirectionally coupling. The numerical simulations confirm that the generalized synchronization of chaos in these two systems can be achieved with a suitable coupling intensity when the maximum condition Lyapunov exponent (MCLE) is negative. Also, the auxiliary system approach is used to detect the existence of the generalized synchronization.

UNIFIED VARIATIONAL PRINCIPLES FOR THE VON NEUMANN, MASTER AND BOLTZMANN-BLOCH EQUATIONS AND THE T-MATRIX

1995 ◽  
Vol 09 (10) ◽  
pp. 1227-1242
Author(s):  
MASUMI HATTORI ◽  
HUZIO NAKANO
Keyword(s):  
Density Matrix ◽  
Variational Principles ◽  
Matrix Theory ◽  
Bloch Equation ◽  
Irreversible Processes ◽  
Collision Term ◽  
Maximum Condition ◽  
Von Neumann ◽  
Maximum Problem ◽  
T Matrix

The variational principle of irreversible processes, which was previously presented for the von Neumann equation as a stationarity problem and then converted into a maximum problem by contracting the density matrix perturbatively, is reinvestigated w.r.t. the contraction of the density matrix. The present contraction relies on the T-matrix theory of scattering, where no perturbational consideration enters. By taking the electron transport in solids as a typical example, the contraction is performed in two steps: the even component of the density matrix as to time reversal is eliminated first and then the off-diagonal elements in the scheme of diagonalizing the unperturbed Hamiltonian. The maximum problem thus obtained is for the diagonal elements of the odd component of the density matrix. The maximum condition gives the master equation, which is reduced to the Boltzmann-Bloch equation in the scheme of one-body picture. It is noticeable in this equation that the collision term is given in terms of the T-matrix in scattering theory.

scholarly journals Diagonal Scaling of Ill-Conditioned Matrixes by Genetic Algorithm

2012 ◽  
Vol 8 (1) ◽  
pp. 49-53 ◽  
Author(s):  
Behrouz Vajargah ◽  
Mojtaba Moradi
Keyword(s):  
Genetic Algorithm ◽  
Condition Number ◽  
Minimum Condition ◽  
Diagonal Scaling

Diagonal Scaling of Ill-Conditioned Matrixes by Genetic AlgorithmThe purpose of this article is to use genetic algorithm for finding two invertible diagonal matricesD1andD2such that the scaled matrixD1AD2approaches to minimum condition number.

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