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On the module structure of rings of integers in p-adic number fields over associated orders
Mathematical Proceedings of the Cambridge Philosophical Society, 1998Summary: Let \(p\) be an odd prime number. Let \(k\) be a \(\mathfrak p\)-number field and \(\mathfrak O\) the ring of all integers of \(k\) with a prime element \(\pi\). Let \(K/k\) be a cyclic extension with Galois group \(G\), and \(\mathfrak A\) the associated order of the ring \(\mathfrak O\) of all integers in \(K\): \(\mathfrak A=\left\{f \in kG\
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Mathematical Notes, 1997
The aim of this paper is to describe the injective and projective objects in the category of locally compact modules over the ring of integers of a global field. The objects in this category possessing injective or projective resolutions are also described.
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The aim of this paper is to describe the injective and projective objects in the category of locally compact modules over the ring of integers of a global field. The objects in this category possessing injective or projective resolutions are also described.
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Russian Mathematical Surveys, 1993
The category of locally compact modules over the integers in a global field is studied. This category is not abelian, only preabelian. Projective and injective objects are described, and the vanishing of Ext is asserted.
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The category of locally compact modules over the integers in a global field is studied. This category is not abelian, only preabelian. Projective and injective objects are described, and the vanishing of Ext is asserted.
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Journal of Mathematical Sciences, 2002
This note considers the Galois module structure of fractional ideals \(I\) in \(K\) where \(K/k\) is a \(G\)-Galois extension of \(p\)-adic fields. It complements the results in a previous paper of \textit{S. V. Vostokov, I. B. Zhukov} and the author [St. Petersbg. Math. 9, 675--693 (1998); translation from Algebra Anal. 9, No.
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This note considers the Galois module structure of fractional ideals \(I\) in \(K\) where \(K/k\) is a \(G\)-Galois extension of \(p\)-adic fields. It complements the results in a previous paper of \textit{S. V. Vostokov, I. B. Zhukov} and the author [St. Petersbg. Math. 9, 675--693 (1998); translation from Algebra Anal. 9, No.
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Physica Scripta
Abstract The cogging torque in permanent magnet (PM) machines arises from the interaction between PMs and the iron teeth of the stator, resulting in nonuniform torque output. Therefore, effectively suppressing cogging torque and its resultant torque ripple has become a critical technical challenge for enhancing operational performance
Fangfang Bian +3 more
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Abstract The cogging torque in permanent magnet (PM) machines arises from the interaction between PMs and the iron teeth of the stator, resulting in nonuniform torque output. Therefore, effectively suppressing cogging torque and its resultant torque ripple has become a critical technical challenge for enhancing operational performance
Fangfang Bian +3 more
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Model Theoretic Algebra with particular emphasis on Fields, Rings, Modules
2022Christian U. Jensen, Helmut Lenzing
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Photocatalysis Enhanced by External Fields
Angewandte Chemie - International Edition, 2021Shuchen Tu, Na Tian, Tianyi Ma
exaly
Ring of integers in an extension of prime degree of a local field as a Galois module
Journal of Soviet Mathematics, 1976Borevich, Z. I., Vostokov, S. V.
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