Results 1 to 10 of about 32,231 (168)
Universal Latent Representation in Finite Ring Continuum [PDF]
EntropyWe propose a unified mathematical framework showing that the representational universality of modern foundational models arises from a shared finite latent domain.
Yosef Akhtman
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Enumeration of Neutrosophic Involutions over Finite Commutative Neutrosophic Rings [PDF]
Neutrosophic Sets and Systems, 2023 A finite commutative ring involution is the multiplicative inverse of the element attribute R is the element itself. This classical characteristic of a finite commutative ring makes Neutrosophic involutions possible, which are counted, listed and ...
T. Chalapathi +2 more
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BIPARTITE GRAPH ASSOCIATED WITH ELEMENTS AND COSETS OF SUBRINGS OF FINITE RINGS
Barekeng, 2023 Let be a finite ring. The bipartite graph associated to elements and cosets of subrings of is a simple undirected graph with vertex set , where is the set of all subrings of , and two vertices and are adjacent if and only if In this study, we ...
Hubbi Muhammad +3 more
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On r-Noncommuting Graph of Finite Rings
Axioms, 2021 Let R be a finite ring and r∈R. The r-noncommuting graph of R, denoted by ΓRr, is a simple undirected graph whose vertex set is R and two vertices x and y are adjacent if and only if [x,y]≠r and [x,y]≠−r.
Rajat Kanti Nath +3 more
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Constacyclic Codes over Finite Chain Rings of Characteristic p
Axioms, 2021 Let R be a finite commutative chain ring of characteristic p with invariants p,r, and k. In this paper, we study λ-constacyclic codes of an arbitrary length N over R, where λ is a unit of R.
Sami Alabiad, Yousef Alkhamees
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Classification of Elements in Elliptic Curve Over the Ring 𝔽q[ɛ]
Discussiones Mathematicae - General Algebra and Applications, 2021 Let 𝔽q[ɛ] := 𝔽q [X]/(X4 − X3) be a finite quotient ring where ɛ4 = ɛ3, with 𝔽q is a finite field of order q such that q is a power of a prime number p greater than or equal to 5.
Selikh Bilel +2 more
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A Novel Image Encryption Scheme Based on Elliptic Curves over Finite Rings
Entropy, 2022 Image encryption based on elliptic curves (ECs) is emerging as a new trend in cryptography because it provides high security with a relatively smaller key size when compared with well-known cryptosystems.
Umar Hayat +3 more
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Laplacian spectrum of comaximal graph of the ring ℤn
Special Matrices, 2022 In this paper, we study the interplay between the structural and spectral properties of the comaximal graph Γ(Zn)\Gamma \left({{\mathbb{Z}}}_{n}) of the ring Zn{{\mathbb{Z}}}_{n} for n>2n\gt 2.
Banerjee Subarsha
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Sensors, 2021 The optimization performed in this study is based on the finite dimensions model of the concentric ring electrode as opposed to the negligible dimensions model used in the past.
Oleksandr Makeyev +3 more
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A commutativity‐or‐finiteness condition for rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We show that a ring with only finitely many noncentral subrings must be either commutative or finite.
Abraham A. Klein, Howard E. Bell
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