Results 71 to 80 of about 330 (178)
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}$\textnormal {Int}_K(A)=\lbrace f\in K[X] \mid f(A)\subseteq A ...
Giulio Peruginelli, Nicholas J. Werner
wiley +1 more source
Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
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Wasit Journal for Pure SciencesThe study of finite extension of Galois rings in the recent past have given rise to commutative completely primary finite rings that have attracted much attention as they have yielded important results towards classification of finite rings into well ...
Hezron Were +3 more
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Outer Galois theory prime rings
Rocky Mountain Journal of Mathematics, 1984 An outer Galois theory for prime rings can be obtained as a special case of the Galois theory developed by \textit{V. K. Kharchenko} [Algebra Logika 16, 313-363 (1977; Zbl 0397.16037)] for semiprime rings. The authors, however, give a direct derivation of the Galois correspondence in this case.
Montgomery, S., Passman, D.S.
openaire +3 more sources
Advanced Engineering Research, 2017 Introduction . One of the tasks arising in cryptography is to ensure the safe and honest conduct of e-voting. This procedure provides that voters submit their votes electronically - for example, through electronic terminals.
Larisa V. Cherkesova +3 more
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Construction of New Fractional Repetition Codes from Relative Difference Sets with λ=1
Entropy, 2017 Fractional repetition (FR) codes are a class of distributed storage codes that replicate and distribute information data over several nodes for easy repair, as well as efficient reconstruction.
Young-Sik Kim, Hosung Park, Jong-Seon No
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A Jacobson Radical Decomposition of the Fano-Snowflake Configuration
Symmetry, Integrability and Geometry: Methods and Applications, 2008 The Fano-Snowflake, a specific configuration associated with the smallest ring of ternions $R_{diamondsuit}$ (arXiv:0803.4436 and arXiv:0806.3153), admits an interesting partitioning with respect to the Jacobson radical of $R_{diamondsuit}$. The totality
Metod Saniga, Petr Pracna
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Non-commutative finite associative algebras of 2-dimensional vectors [PDF]
Computer Science Journal of Moldova, 2017 In this paper properties of the non-commutative finite associative algebra of two-dimensional vectors are presented. Interesting features of algebra are mutual associativity of all modifications of the defined parameterized multiplication operation and ...
Alexander Moldovyan +2 more
doaj
Novel Machine Learning-Resistant RO-Based PUF Optimized for IoT Device Authentication
IEEE AccessIn this work, a novel Physically Unclonable Function (PUF) based on Generalized Galois Ring Oscillators (GenGAROs) optimized for IoT device identification purposes has been proposed and analyzed.
Raul Aparicio-Tellez +3 more
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MathematicsThis paper presents a set of survey-style notes linking core themes of pure algebra with central topics in algebraic and analytic number theory. We begin with finite extensions of Q and describe algebraic number fields through their realization as finite-
Miroslav Stoenchev +2 more
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