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Pure-direct-projective modules
Journal of Algebra and Its Applications, 2022In this paper, we introduce and study the pure-direct-projective modules, that is the modules [Formula: see text] every pure submodule [Formula: see text] of which with [Formula: see text] isomorphic to a direct summand of [Formula: see text] is a direct summand of [Formula: see text].
Alizade, Rafail, Toksoy, Sultan Eylem
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Boletín de la Sociedad Matemática Mexicana, 2015
Let \(R\) be an associative ring with an identity element. A unital right \(R\)-module \(M\) is called ADS* if for any direct summand \(N\) of \(M\) and any supplement \(K\) of \(N\) in \(M\) one has \(M=N\oplus K\). The aim of this paper is to investigate direct sums of ADS* modules. First, the authors provide a bunch of examples of ADS* modules whose
Tribak, Rachid +2 more
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Let \(R\) be an associative ring with an identity element. A unital right \(R\)-module \(M\) is called ADS* if for any direct summand \(N\) of \(M\) and any supplement \(K\) of \(N\) in \(M\) one has \(M=N\oplus K\). The aim of this paper is to investigate direct sums of ADS* modules. First, the authors provide a bunch of examples of ADS* modules whose
Tribak, Rachid +2 more
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Finite direct projective modules
Asian-European Journal of Mathematics, 2023In this paper, we introduce the notion of finite direct projective modules, which is a generalization of direct projective modules; counter-example is given. We study the properties of finite direct projective modules with respect of their summands.
Sonal Gupta, Ashok Ji Gupta
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Single-modulator, direct frequency comb spectroscopy via serrodyne modulation
Optics Letters, 2023Traditional electro-optic frequency comb spectrometers rely upon the use of an acousto-optic modulator (AOM) to provide a differential frequency shift between probe and local oscillator (LO) legs of the interferometer. Here we show that these modulators can be replaced by an electro-optic phase modulator (EOM) which is driven by a ...
D. A. Long +7 more
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Direct Imaging of Charge Modulation
Physical Review Letters, 1996Electron diffraction calculation suggest that a modulation in the density of valence electrons may dominate the images of Bi{sub 2}Sr{sub 2}CaCu{sub 2}O{sub 8+{delta}} under certain experimental conditions. This prediction is supported by electron microscope experiments where we observe modulation that we attribute to charge transfer over a distance of
, Zhu, , Tafto
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Acta Mathematica Sinica, 1993
Direct injective modules were defined by W. K. Nicholson in 1976. An \(R\)- module \(M\) is said to be direct injective if given a direct summand \(N\) of \(M\) with inclusion \(i: N\to M\) and any monomorphism \(g: N\to M\), there exists an endomorphism \(f\) of \(M\) such that \(fg=i\).
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Direct injective modules were defined by W. K. Nicholson in 1976. An \(R\)- module \(M\) is said to be direct injective if given a direct summand \(N\) of \(M\) with inclusion \(i: N\to M\) and any monomorphism \(g: N\to M\), there exists an endomorphism \(f\) of \(M\) such that \(fg=i\).
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Direct system and direct limit of \(H_v\)-modules.
2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GHADIRI, M., DAVVAZ, B.
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Specification directed module testing
IEEE Transactions on Software Engineering, 1986The testing techniques described in this paper apply to the testing of abstract data types (modules, packages). The techniques utilize information generated during refinement of a data type, such as the data type invariant and the relationship between the specification and implementation states; this information is used to specify parts of the code to ...
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Emotional expression modulates perceived gaze direction.
Emotion, 2008Gaze perception is an important social skill, as it portrays information about what another person is attending to. Gaze direction has been shown to affect interpretation of emotional expression. Here the authors investigate whether the emotional facial expression has a reciprocal influence on interpretation of gaze direction. In a forced-choice yes-no
Lobmaier, Janek S. +2 more
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Doppler Direction Sense Module
7th European Microwave Conference, 1977, 1977A novel method of incorporating direction sense into a Doppler radar module, integrated with a circulator, is described. It uses the properties of the isolation signal in microstrip circulators and is accomplished without any increase in substrate size or addition of any complicated circuitry.
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