Results 21 to 30 of about 2,278 (280)
Superring of Polynomials over a Hyperring
Mathematics, 2019 A Krasner hyperring (for short, a hyperring) is a generalization of a ring such that the addition is multivalued and the multiplication is as usual single valued and satisfies the usual ring properties.
Reza Ameri +2 more
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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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Nondistributive Rings and Their Öre Localizations
Discussiones Mathematicae - General Algebra and Applications, 2018 In the paper, we introduce the notion of a nondistributive ring N as a generalization of the notion of an associative ring with unit, in which the addition needs not be abelian and the distributive law is replaced by n0 = 0n = 0 for every element n of N.
Hryniewicka Małgorzata Elżbieta
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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 +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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Subdirect products of semirings
International Journal of Mathematics and Mathematical Sciences, 2001 Bandelt and Petrich (1982) proved that an inversive semiring S is a subdirect product of a distributive lattice and a ring if and only if S satisfies certain conditions. The aim of this paper is to obtain a generalized version of this result.
P. Mukhopadhyay
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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 +3 more
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When do L-fuzzy ideals of a ring generate a distributive lattice?
Open Mathematics, 2016 The notion of L-fuzzy extended ideals is introduced in a Boolean ring, and their essential properties are investigated. We also build the relation between an L-fuzzy ideal and the class of its L-fuzzy extended ideals.
Gao Ninghua, Li Qingguo, Li Zhaowen
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