Results 151 to 160 of about 568 (161)

Stickelberger ideals and Fitting ideals of class groups for abelian number fields

Mathematische Annalen, 2010
Let \(K\) be an imaginary, abelian number field, denote its Galois group by \(G\) and let \(R_K^-\) denote the minus part of \(\mathbb Z [\frac 12][G]\). To investigate the Galois structure of the minus part \((Cl_K')^-\) of the class group of \(K\) (and neglecting the \(2\)-part), one is interested in its structure as an \(R_K^-\)-module and ...
Kurihara, Masato, Miura, Takashi
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ABELIAN IDEALS IN A COMPLEX SIMPLE LIE ALGEBRA

Glasgow Mathematical Journal, 2016
AbstractIn this note, we give a new simple construction of all maximal abelian ideals in a Borel subalgebra of a complex simple Lie algebra. We also derive formulas for dimensions of certain maximal abelian ideals in terms of the theory of Borel de Siebenthal.
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Some Ideal Lattices in Partial Abelian Monoids and Effect Algebras

Order, 2000
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Chevalier, G., Pulmannová, S.
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Isogenies of abelian varieties with multiplications and fitting ideals

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1995
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On the Ideal Class Groups of Real Abelian Number Fields

The Annals of Mathematics, 1988
This paper presents a new relationship between the ideal class group \(A\) and the unit group \(E\) of a real abelian field \(K\). In fact, the author finds annihilators of the \(p\)-class group \((A)_ p\) related to the structure of \(W=E/C\) (\(C=\) circular units), and in this way obtains smooth statements about relations between annihilators of ...
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Ideal subgroups of abelian groups

1972
Electrical Engineering, Mathematics and Computer ...
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Ideals in Abelian Group-Rings

Journal of the London Mathematical Society, 1970
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Lie algebras of derivations with large abelian ideals

2019
Summary: Let \(\mathbb{K}\) be a field of characteristic zero, \(A=\mathbb{K}[x_1,\ldots,x_n]\) the polynomial ring and \(R=\mathbb{K}(x_1,\dots,x_n)\) the field of rational functions. The Lie algebra \(\widetilde{W}_n(\mathbb{K}):=\operatorname{Der}_{\mathbb{K}}R\) of all \(\mathbb{K} \)-derivation on \(R\) is a vector space (of dimension n) over \(R\)
Klymenko, I.S., Lysenko, S.V., Petravchuk, A.   +2 more
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Abelian J-Invariant Ideals on Nilpotent Lie Algebras

2022
Adela Latorre, Luis Ugarte
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Ideal theory of the Abelian group-algebra

Proceedings of the Indian Academy of Sciences - Section A, 1938
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