Results 1 to 10 of about 199,681 (176)
MathematicsThe algebraic analysis of linear code parameters reveals deep connections with cryptographic constructions, including the Information Dispersal Algorithms (IDAs) and secret-sharing schemes.
Oscar Casimiro-Muñoz +3 more
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Generalized Skew Polynomial Rings [PDF]
Transactions of the American Mathematical Society, 1982 For a totally ordered cancellative semigroup Γ \Gamma , a skew field K K , let K [ Γ ; ϕ ] K[\Gamma ;\phi ] be a skew semigroup ring. If x ∈ Γ , k ∈ K x \in \Gamma ,\,k \in K , then
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Finitely generated powers of prime ideals
, 2016 Let R be a commutative ring. If P is a maximal ideal of R whose a power is finitely generated then we prove that P is finitely generated if R is either locally coherent or arithmetical or a polynomial ring over a ring of global dimension $\le$ 2.
Couchot, Francois
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The structure of the classifying ring of formal groups with complex multiplication
, 2015 If $A$ is a commutative ring, there exists a classifying ring $L^A$ of formal groups with complex multiplication by $A$, i.e., "formal $A$-modules." In this paper, the basic properties of the functor that sends $A$ to $L^A$ are developed and studied ...
Salch, Andrew
core
Isomorphic polynomial rings [PDF]
Proceedings of the American Mathematical Society, 1971 Coleman, D. B., Enochs, E. E.
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A random number generator based on NTRU cryptosystem [PDF]
Maejo International Journal of Science and Technology, 2010 A random number generator based on the operation of the NTRU cryptosystem is proposed. By using the proposed generator together with the NTRU cryptosystem, we can save hardware and software components.
He Debiao
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Prime Ideals and Three-generated Ideals with Large Regularity
Comptes Rendus. MathématiqueAnanyan and Hochster proved the existence of a function $\Phi (m,d)$ such that any graded ideal $I$ generated by $m$ forms of degree at most $d$ in a standard graded polynomial ring satisfies $\mathrm{reg}(I) \le \Phi (m,d)$. Relatedly, Caviglia et.
McCullough, Jason
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Nilpotent Elements in Skew Polynomial Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2017 Letbe a ring with an endomorphism and an -derivationAntoine studied the structure of the set of nilpotent elements in Armendariz rings and introduced nil-Armendariz rings.
M. Azimi, A. Moussavi
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Some Notes on Semiabelian Rings
International Journal of Mathematics and Mathematical Sciences, 2011 It is proved that if a ring R is semiabelian, then so is the skew polynomial ring R[x;σ], where σ is an endomorphism of R satisfying σ(e)=e for all e∈E(R). Some characterizations and properties of semiabelian rings are studied.
Junchao Wei, Nanjie Li
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On λ-rings and topological realization
International Journal of Mathematics and Mathematical Sciences, 2006 It is shown that most possibly truncated power series rings admit uncountably many filtered λ-ring structures. The question of how many of these filtered λ-ring structures are topologically realizable by the K-theory of torsion-free spaces is also ...
Donald Yau
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