Results 61 to 70 of about 1,179 (268)
On Generalized Periodic-Like Rings
International Journal of Mathematics and Mathematical Sciences, 2007 Let R be a ring with center Z, Jacobson radical J, and set N of all nilpotent elements. Call R generalized periodic-like if for all x∈R∖(N∪J∪Z) there exist positive integers m, n of opposite parity for which xm−xn∈N∩Z.
Howard E. Bell, Adil Yaqub
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Another Prüfer Ring of Integer-Valued Polynomials
Journal of Algebra, 1997 Let \(D\) be an integral domain with quotient field \(K\) and let \(\text{ Int}(D) = \{f \in K [x] \mid f(D) \subseteq D\}\). If \(D\) is Dedekind and all its residue fields are finite then \(\text{ Int}(D)\) is Prüfer while if \(\text{ Int}(D)\) is Prüfer then \(D\) is almost Dedekind (i.e.
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Advanced Science, EarlyView.We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich +2 more
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Consensus Formation and Change are Enhanced by Neutrality
Advanced Science, EarlyView.Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag +3 more
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Certain near-rings are rings, II
International Journal of Mathematics and Mathematical Sciences, 1986 We investigate distributively-generated near-rings R which satisfy one of the following conditions: (i) for each x,y∈R, there exist positive integers m, n for which xy=ymxn; (ii) for each x,y∈R, there exists a positive integer n such that xy=(yx)n. Under
Howard E. Bell
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Certifying Rings of Integers in Number Fields
Proceedings of the 14th ACM SIGPLAN International Conference on Certified Programs and Proofs14 pages.
Anne Baanen +2 more
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Lambda actions of rings of integers
, 2011 This preprint is a preliminary version dating from 2006. We are making it available in this form because some people would like to cite it now.
Borger, James, de Smit, Bart
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De Novo Multi‐Mechanism Antimicrobial Peptide Design via Multimodal Deep Learning
Advanced Science, EarlyView.Current AI‐driven peptide discovery often overlooks complex structural data. This study presents M3‐CAD, a generative pipeline that leverages 3D voxel coloring and a massive database of over 12 000 peptides to capture nuanced physicochemical contexts.
Xiaojuan Li +23 more
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Additive maps preserving determinant on module of symmetric matrices over Zm
Journal of Hebei University of Science and Technology, 2018 In order to characterize the additive maps preserving of modulus of symmetric matrices over residue class rings, these maps are firstly proved to be linear in fact, then they are classified and discussed by means of contract transformation, number theory
Yuqiu SHENG +4 more
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Generalized rings of integer-valued polynomials
Journal of Number Theory, 2012 Let us first recall the definition of the classical ring of integer-valued polynomials \(\mathrm{Int}(\mathbb{Z})=\{f(X)\in\mathbb{Q}[X];f(\mathbb{Z})\) \(\subseteq \mathbb{Z}\}\). In the literature, many generalizations are done where elements of \(\mathbb{Q}[X]\) act on sets such as rings of algebraic integers or the ring \(M_n(\mathbb{Z})\) of \(n ...
Loper, K. Alan, Werner, Nicholas J.
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