Results 21 to 30 of about 1,070 (271)

Discretisation and Product Distributions in Ring-LWE [PDF]

Journal of Mathematical Cryptology, 2020
Abstract A statistical framework applicable to Ring-LWE was outlined by Murphy and Player (IACR eprint 2019/452). Its applicability was demonstrated with an analysis of the decryption failure probability for degree-1 and degree-2 ciphertexts in the homomorphic encryption scheme of Lyubashevsky, Peikert and Regev ...
Murphy, Sean, Player, Rachel
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Hypernear-rings with a defect of distributivity

Filomat, 2018
Since in a near-ring the distributivity holds just on one side (left or right), it seems naturally to study the behaviour and properties of the set of elements that ?correct? the lack of distributivity, in other words that elements that assure the validity of the distributivity.
Jančić-Rašović, Sanja, Cristea, Irina Elena   +1 more
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A distributed message-optimal assignment on rings [PDF]

Journal of Parallel and Distributed Computing, 2019
Consider a set of items and a set of $m$ colors, where each item is associated to one color. Consider also $n$ computational agents connected by a ring. Each agent holds a subset of the items and items of the same color can be held by different agents. We analyze the problem of distributively assigning colors to agents in such a way that (a) each color
De Marco G., Leoncini M., Montangero M.
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Distributive Noetherian centrally essential rings [PDF]

Journal of Algebra and Its Applications, 2021
It is proved that a ring A is a right or left Noetherian, right distributive, centrally essential ring if and only if [Formula: see text], where each of the rings [Formula: see text] is either a commutative Dedekind domain or a left and right Artinian, left and right uniserial ring.
Markov, V. T., Tuganbaev, A. A.
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$\aleph_0$-distributive modules and rings

, 2022
Let $A$ be a ring with minimum condition on principal right ideals. It is proved that $\aleph_0$-distributive right (left) $A$-modules coincide with Artinian (Noetherian) right (left) $A$-modules. Rings, over which all right modules are direct sums of $\aleph_0$-distributive coincide with rings of of finite representation type.
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Distributed Job Scheduling in Rings

Journal of Parallel and Distributed Computing, 1997
We give a distributed approximation algorithm for job scheduling in a ring architecture. In contrast to many other parallel scheduling models, the model we consider captures the influence of the underlying communications network by specifying that task migration from one processor to another takes time proportional to the distance between those two ...
Perry Fizzano, David R. Karger, Clifford Stein 0001, Joel Wein   +3 more
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Size distribution of ring polymers

Scientific Reports, 2016
AbstractWe present an exact solution for the distribution of sample averaged monomer to monomer distance of ring polymers. For non-interacting and local-interaction models these distributions correspond to the distribution of the area under the reflected Bessel bridge and the Bessel excursion respectively and are shown to be identical in dimensiond ≥ 2,
Shlomi Medalion, Erez Aghion, Hagai Meirovitch, Eli Barkai, David A. Kessler   +4 more
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Azumaya Monads and Comonads

Axioms, 2015
The definition of Azumaya algebras over commutative rings \(R\) requires the tensor product of modules over \(R\) and the twist map for the tensor product of any two \(R\)-modules.
Bachuki Mesablishvili, Robert Wisbauer
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Component graphs of vector spaces and zero-divisor graphs of ordered sets

AKCE International Journal of Graphs and Combinatorics
In this paper, nonzero component graphs and nonzero component union graphs of finite-dimensional vector spaces are studied using the zero-divisor graph of a specially constructed 0–1-distributive lattice and the zero-divisor graph of rings.
Nilesh Khandekar, Peter J. Cameron, Vinayak Joshi   +2 more
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Chain rings and distributive rings

Matemática Contemporânea, 1994
The author reports on joint work with \textit{G. Törner} [see f.e. Proc. Am. Math. Soc. 119, No. 2, 401-405 (1993; Zbl 0810.16020)].
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