نتایج جستجو برای: ideal of lattice homomorphisms

تعداد نتایج: 21183672  

2013
LENNY FUKSHANSKY

We study semi-stable ideal lattices coming from quadratic number fields. We prove that all ideal lattices of trace type from rings of integers of imaginary quadratic number fields are semi-stable. For real quadratic fields, we demonstrate infinite families of semi-stable and unstable ideal lattices, establishing explicit conditions on the canonical basis of an ideal that ensure stability; in pa...

2015
Gu Chunsheng

Recently, Hu and Jia presented an efficient attack on the GGH map. They show that the MPKE and WE based on GGH with public tools of encoding are not secure. Currently, an open problem is to fix GGH with functionality-preserving. We present a new construction of multilinear map using ideal lattices, which maintains functionality of GGH with public tools of encoding, such as applications of GGH-b...

2011
Dan Boneh David Mandell Freeman

We construct the first homomorphic signature scheme that is capable of evaluating multivariate polynomials on signed data. Given the public key and a signed data set, there is an efficient algorithm to produce a signature on the mean, standard deviation, and other statistics of the signed data. Previous systems for computing on signed data could only handle linear operations. For polynomials of...

1998
Li-Shi Luo LI-SHI LUO

A non-ideal gas lattice Boltzmann model is directly derived, in an a priori fashion, from the Enskog equation for dense gases. The model is rigorously obtained by a systematic procedure to discretize the Enskog equation (in the presence of an external force) in both phase space and time. The lattice Boltzmann model derived here is thermodynamically consistent and is free of the defects which ex...

2014
Nan Jiang Satinder P. Singh Richard L. Lewis

In this paper we show how abstractions can help UCT’s performance. Ideal abstractions are homomorphisms because they preserve optimal policies, but they rarely exist, and are computationally hard to find even when they do. We show how a combination of (i) finding local abstractions in the layered-DAG MDP induced by a set of UCT trajectories (rather than finding abstractions in the global MDP), ...

Journal: :Formalized Mathematics 2014
Artur Kornilowicz Christoph Schwarzweller

Different properties of rings and fields are discussed. We introduce ring homomorphisms, their kernels and images, and prove the First Isomorphism Theorem, namely that for a homomorphism f : R −→ S we have R/ker(f) ∼= Im(f). Then we define prime and irreducible elements and show that every principal ideal domain is factorial. Finally we show that polynomial rings over fields are Euclidean and h...

2009
ANURAG K. SINGH ULI WALTHER

Let R be a polynomial ring in finitely many variables over the integers, and fix an ideal a of R. We prove that for all but finitely prime integers p, the Bockstein homomorphisms on local cohomology, H a (R/pR) −→ H k+1 a (R/pR), are zero. This provides strong evidence for Lyubeznik’s conjecture which states that the modules H a (R) have a finite number of associated prime ideals.

Journal: :communication in combinatorics and optimization 0
abbas alilou azarbaijan shahid madani university jafar amjadi azarbaijan shahid madani university

let $r$ be a commutative ring with identity. an ideal $i$ of a ring $r$is called an annihilating ideal if there exists $rin rsetminus {0}$ such that $ir=(0)$ and an ideal $i$ of$r$ is called an essential ideal if $i$ has non-zero intersectionwith every other non-zero ideal of $r$. thesum-annihilating essential ideal graph of $r$, denoted by $mathcal{ae}_r$, isa graph whose vertex set is the set...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه سمنان - دانشکده ادبیات و علوم انسانی 1393

from its emergence till present time marxist principles has undergone great changes since their promulgation by marx. many theorists and thinkers set at rectifying marxist tenets and introducing those of their own while others advocated its main concepts and attempted at improving them. among marxist philosophers who had an intensive study of marxs ideology, is louis althusser whose reflections...

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