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Maximal Ideals of Generalized Summing Linear Operators
We prove when a Banach ideal of linear operators defined, or characterized, by the transformation of vector-valued sequences is maximal. Known...
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Maximal non-valuative domains
The notion of maximal non-valuative domain is introduced and characterized. An integral domain R is called a maximal non-valuative domain if R is not...
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Leavitt Path Algebras in Which Every Lie Ideal is an Ideal and Applications
In this paper, we classify all Leavitt path algebras which have the property that every Lie ideal is an ideal. As an application, we show that...
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Maximal non-pseudovaluation subrings of an integral domain
The notion of maximal non-pseudovaluation subring of an integral domain is introduced and studied. Let R ⊂ S be an extension of domains. Then R is...
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Exploiting ideal-sparsity in the generalized moment problem with application to matrix factorization ranks
We explore a new type of sparsity for the generalized moment problem (GMP) that we call ideal-sparsity . In this setting, one optimizes over a measure...
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On purely-maximal ideals and semi-Noetherian power series rings
Tarizadeh and Aghajani conjectured that each purely-prime ideal is purely-maximal (Tarizadeh and Aghajani in Commun Algebra 49(2):824–835, 2021,...
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Nadel-type multiplier ideal sheaves on complex spaces with singularities
In this article, we introduce multiplier ideal sheaves on complex spaces with singularities ( not necessarily normal) via Ohsawa’s extension measure,...
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On Maximal Extensions of Nilpotent Lie Algebras
AbstractExtensions of finite-dimensional nilpotent Lie algebras, in particular, solvable extensions, are considered. Some properties of maximal...
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A Geometric Study of Circle Packings and Ideal Class Groups
A family of fractal arrangements of circles is introduced for each imaginary quadratic field K . Collectively, these arrangements contain (up to an...
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Maximal Ideals in Countable Rings, Constructively
The existence of a maximal ideal in a general nontrivial commutative ring is tied together with the axiom of choice. Following Berardi, Valentini and...
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There is no largest proper operator ideal
An operator ideal is proper if the only invertible operators it contains have finite rank. We answer a problem posed by Pietsch (Operator ideals,...