Results 211 to 220 of about 1,263,781 (250)

Cevian properties in ideal lattices of Abelian ℓ-groups

Forum Mathematicum, 2021
We consider the problem of describing the lattices of compact ℓ{\ell}-ideals of Abelian lattice-ordered groups. (Equivalently, describing the spectral spaces of Abelian lattice-ordered groups.) It is known that these lattices have countably based ...
Miroslav Ploščica
exaly   +4 more sources

Classification of nilpotent lie algebras of dimension nine whose maximum abelian ideal is of dimension seven

International Journal of Computer Mathematics, 2000
G. Tsagas, A. Kobotis, T. Koukouvinos
exaly   +2 more sources

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 ...
F. Thaine
semanticscholar   +3 more sources

Abelian Subalgebras and Ideals of Maximal Dimension in Solvable Leibniz Superalgebras

Mediterranean Journal of Mathematics
Sofiane Bouarroudj, , R M Navarro
exaly   +2 more sources

On the Stickelberger ideal and the circular units of an abelian field

Inventiones Mathematicae, 1980
W. Sinnott
exaly   +2 more sources

Commutative ideal extensions of abelian groups

ACM SIGSAM Bulletin, 1999
An element \(x\) in a semigroup \(S\) is Archimedean if for every \(y\in S\) there exist a nonnegative integer \(k\) and \(z\in S\) such that \(kx=y+z\). A commutative semigroup \(E\) is an ideal extension of an Abelian group if and only if \(E\) has an element that is Archimedean and idempotent.
Juan Ignacio García-García, Pedro A. García-Sánchez, José Carlos Rosales   +2 more
openaire   +2 more sources

Cocalibrated structures on Lie algebras with a codimension one Abelian ideal

, 2011
Cocalibrated G2-structures and cocalibrated $${{\rm G}_2^*}$$-structures are the natural initial values for Hitchin’s evolution equations whose solutions define (pseudo)-Riemannian manifolds with holonomy group contained in Spin(7) or Spin0(3, 4 ...
Marco Freibert
semanticscholar   +1 more source

Symmetries of the Poset of Abelian Ideals in a Borel Subalgebra

Journal of Lie Theory, 2014
The study of abelian subalgebras of a finite dimensional semisimple Lie algebra has an ancient root. In 1945, \textit{A. I. Mal'tsev} [Izv. Akad. Nauk SSSR, Ser. Mat. 9, 291--300 (1945; Zbl 0063.03728)] found the maximal dimension of the abelian subalgebras of a finite dimensional simple Lie algebra. Also in 1965, \textit{B. Kostant} [Topology 3, Suppl.
P. Cellini, MÖSENEDER FRAJRIA, PIERLUIGI, P. Papi   +2 more
openaire   +5 more sources

Idempotent ideals on abelian groups

Journal of Symbolic Logic, 1984
AbstractAn ideal I defined on a group G is called idempotent if for every A ∈ I, {g ∈ G:Ag−1 ∉ ∈ I} ∈ I. We show that a countably complete idempotent ideal on an abelian group cannot be prime but may have strong saturation properties.
openaire   +2 more sources

Cohomologies of certain Lie algebras with an Abelian ideal

Russian Mathematical Surveys, 1993
Cohomologies of Lie algebras in the adjoint module appear in studying deformations of Lie algebras. If \(Q\) is a Lie algebra with a multiplication \(f_0\), then the Lie algebra \(Q_t=Q \otimes k[[t]]\) is called a deformation of \(Q\) if \(Q_t\) can be endowed by multiplication \(F_t=f_0 + f_1t+f_2t + \cdots\), where \(f_i:Q \times Q\to Q\) are skew ...
Bakhturin, Yu. A., Pagon, D.
openaire   +2 more sources