Results 61 to 70 of about 600,300 (198)
NON-PARALLEL KRULL DIMENSION OF MODULES [PDF]
Journal of Algebraic SystemsIn this paper, the concept of non-parallel Krull (resp., Noetherian) dimension of an $ R $-module are introduced and some related properties are investigated.
Nasrin Shirali, Mohammad Maschizadeh
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Torsion pairs via the Ziegler spectrum
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We establish a bijection between torsion pairs in the category of finite‐dimensional modules over a finite‐dimensional algebra A$A$ and pairs (Z,I)$(\mathcal {Z},\mathcal {I})$ formed by a closed rigid set Z$\mathcal {Z}$ in the Ziegler spectrum of A$A$ and a set I$\mathcal {I}$ of indecomposable injective A$A$‐modules. This is as an extension
Lidia Angeleri Hügel +2 more
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From points to complexes: A concept of unexpectedness for simplicial complexes
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract In 2018, Cook, Harbourne, Migliore, and Nagel introduced the concept of unexpected hypersurfaces, which connects the study of Lefschetz properties of Artinian algebras defined by powers of linear forms to a family of interpolation problems.
Thiago Holleben
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A classification of Prüfer domains of integer‐valued polynomials on algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract Let D$D$ be an integrally closed domain with quotient field K$K$ and A$A$ a torsion‐free D$D$‐algebra that is finitely generated as a D$D$‐module and such that A∩K=D$A\cap K=D$. We give a complete classification of those D$D$ and A$A$ for which the ring IntK(A)={f∈K[X]∣f(A)⊆A}$\textnormal {Int}_K(A)=\lbrace f\in K[X] \mid f(A)\subseteq A ...
Giulio Peruginelli, Nicholas J. Werner
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The small condition for modules with Noetherian dimension [PDF]
Journal of Mahani Mathematical ResearchA module $M$ with Noetherian dimension is said to satisfy the small condition, if for any small submodule $S$ of $M$ the Noetherian dimension of $S$ is strictly less than the Noetherian dimension of $M$. For an Artinian module $M$, this is equivalent to
Nasrin Shirali +2 more
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The motive of the Hilbert scheme of points in all dimensions
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract We prove a closed formula for the generating series Zd(t)$\mathsf {Z}_d(t)$ of the motives [Hilbd(An)0]$[\operatorname{Hilb}^d({\mathbb {A}}^n)_0]$ in K0(VarC)$K_0(\operatorname{Var}_{{\mathbb {C}}})$ of punctual Hilbert schemes, summing over n$n$, for fixed d>0$d>0$.
Michele Graffeo +3 more
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Non-Artinian essential extensions of simple modules
, 1986 A noetherian ring of Krull dimension one is constructed which possesses a simple module with a cyclic non-artinian essential extension. The construction also provides an example of a torsionfree noetherian bimodule which fails to satisfy Jategaonkar’s ...
K. R. Goodearl, A. H. Schofield
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On higher Jacobians, Laplace equations, and Lefschetz properties
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida +2 more
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Rings over which every module is an I*
, 2017 © 2017, Allerton Press, Inc. We obtain a description of semi-artinian rings over which every module is an I* 0 -module. We also describe semi-artinian rings over which every module is a direct sum of a projective module and a V ...
Abyzov A.
core
Some properties of Artinian modules and applications
, 2018 Let [Formula: see text] be a Noetherian local ring and [Formula: see text] be an Artinian [Formula: see text]-module. Consider the following property for [Formula: see text] : [Formula: see text] In this paper, we study the property (∗) of [Formula: see
Tran Nguyen An
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