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ARMENDARIZ MODULES AND NILTORSIONLESS MODULES
Mathematical Reports, 2023In this paper, we introduce the concepts niltorsionless modules and NSmodules (which are generalisations of NI-rings). We prove that the class of niltorsionless modules contains the classes of semiprime and in particular, the class of regular modules ...
Hera Singh, Kh. +2 more
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SEMIDUALIZING MODULES AND RELATED MODULES
Journal of Algebra and Its Applications, 2011In this paper, we prove that the Bass class [Formula: see text] with respect to a semidualizing bimodule C contains all FP-injective S-modules. We introduce the definition of C-FP-injective modules, and give some characterizations of right coherent rings in terms of the C-flat S-modules and C-FP-injective S op -modules.
Zhang, Dongdong, Ouyang, Baiyu
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International Journal of Algebra and Computation, 2010
This paper introduces the notion of a module over a graph and defines the wreath product and derived module of a relational morphism in this context.
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This paper introduces the notion of a module over a graph and defines the wreath product and derived module of a relational morphism in this context.
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Photoelastic modulator: polarization modulation and phase modulation
Journal of Optics, 1995Photoelastic 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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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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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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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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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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