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Photoelastic modulator: polarization modulation and phase modulation

Journal of Optics, 1995
Photoelastic modulators are studied here as both birefringence (or polarization) and phase modulators. In the first part of this work we have determined the influences of time dependent variations of index and thickness, for an ideal modulator where oscillation is supposed to be perfectly longitudinal.
D Yang, J C Canit, E Gaignebet
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Catenary Modules

Acta Mathematica Hungarica, 1999
Let \(A\) be a commutative ring with 1. \(A\) is called catenary if for every prime ideals \(p\subset p'\), there exists a saturated chain of prime ideals (i.e., a chain which cannot be refined with prime ideals) starting from \(p\) and ending at \(p'\), and each such chain has the same finite length. A proper submodule \(K\) of the right \(A\)-module \
Namazi, S., Sharif, H.
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Krull Modules

Algebra Colloquium, 2013
In this article, we generalize the concepts of several classes of domains (which are related to Krull domains) to torsion-free modules, and show that for a faithful multiplication module M over an integral domain R, M is a Krull module if and only if R is a Krull domain. Then we characterize Krull, Dedekind, and factorial modules.
Kim, Hwankoo, Kim, Myeong Og
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“Modulate, Daddy, Modulate!”

2017
Chapter 4 examines Ellison’s use of rhythm—specifically his incorporation of polyrhythms and his application of an advanced rhythmic concept called metric modulation—to express his beliefs about virtual temporalities and social change. The chapter illustrates how Ellison often places temporal constructs, including the static time of official history ...
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EQ-Modules

Mathematica Slovaca, 2020
Abstract In this paper, we apply the module theory to EQ-algebras and we introduce EQ-modules, multiplication EQ-modules and investigate some properties about them. Then we construct the fraction of EQ-algebras, the fraction of EQ-modules, and prove some related results.
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Endocoherent modules

Pacific Journal of Mathematics, 2003
Recall that a left module \(M\) over an associative ring \(S\) with identity is coherent if it is finitely presented and every finitely generated submodule of \(M\) is finitely presented. Moreover, the module \(M\) is called \(\pi\)-coherent if it is finitely presented and every finitely generated left \(S\)-module which is cogenerated by \(M\) is ...
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