Results 51 to 60 of about 1,037,579 (153)
On the General Linear Group over Polynomial Rings
MathematicsWithin algebraic K-theory, when A↠B is a ring homomorphism, it is frequently important to determine the image of the induced homomorphism GLk(A)→GLk(B).
Francis E. A. Johnson
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Earthquake Seismogram Denoising Across Time, Time‐Frequency, and Hybrid Domain Approaches
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 5, October 2026.Abstract Deep learning earthquake signal denoisers commonly operate directly on waveform data or on time‐frequency representations, yet the impact of this design choice has not been systematically assessed under controlled conditions. Here we design and benchmark four comparable deep learning architectures to assess the effect of input data ...
Nikolaj L. Dahmen
wiley +1 more source
The ordinary Hilbert series for Sibirsky graded algebras of the differential system s(5,7)
Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiIn this paper are examined the construction of ordinary Hilbert series for Sibirsky graded algebras of comitants and invariants in autonomous polynomial differential systems.
Lidia Mușinschi, Victor Pricop
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Journal of Applied Crystallography, Volume 59, Issue 5, Page 1531-1543, October 2026.A self‐supervised deep learning model, Noise2Void (N2V), denoises near‐field high‐energy diffraction microscopy diffraction images without requiring unobtainable clean data. These images allow for lower segmentation thresholds and detection of smaller and weaker diffraction peaks, which are often discarded or overlooked with conventional image ...
Xiaoxu Guo +6 more
wiley +1 more source
On Krull-Gabriel dimension and Galois coverings [PDF]
, 2022 Assume that $K$ is an algebraically closed field, $R$ a locally support-finite locally bounded $K$-category, $G$ a torsion-free admissible group of $K$-linear automorphisms of $R$ and $A=R/G$.
Pastuszak, Grzegorz
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Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiThe generalized and ordinary Hilbert series for Sibirsky graded algebras of comitants and invariants of autonomous polynomial differential systems are of particular importance for some problems of qualitative theory of differential systems.
Lidia Mușinschi, Victor Pricop
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The Boolean spectrum of a Grothendieck category
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract A notion of support for objects in any Grothendieck category is introduced. This is based on the spectral category of a Grothendieck category and uses its Boolean lattice of localising subcategories. The support provides a classification of all subcategories that are closed under arbitrary coproducts, subobjects, and essential extensions ...
Henning Krause
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Density of zeros for systems of forms
Proceedings of the London Mathematical Society, Volume 133, Issue 4, October 2026.Abstract Let K$K$ be a field of characteristic zero over which every diagonal form in sufficiently many variables admits a nontrivial zero. For example, K$K$ may be a totally imaginary number field or a finite extension of Qp$\mathbb {Q}_p$. Suppose f1,…,fs$f_1,\ldots,f_s$ are a collection of forms (i.e.
Amichai Lampert
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$q$-Krull dimension of commutative rings [PDF]
In this paper, we introduce and study the $q$-Krull dimension of a commutative ring via its $q$-operation. A new characterization of $\tau_q$-von Neumann regular rings is obtained, and some properties of rings $q$-Krull dimension 0 are studied. Moreover,
Zhang, Xiaolei
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Topological and logical explorations of Krull dimension [PDF]
, 2016 Krull dimension measures the depth of the spectrum Spec(R) of a commutative ring R. Since Spec(R) is a spectral space, Krull dimension can be defined for spectral spaces. Utilizing Stone duality, it can also be defined for distributive lattices.
Lucero-Bryan, Joel +3 more
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