Results 91 to 100 of about 18,021 (212)
On Center of Skew Polynomial Ring Over a Domain
, 2017 -The skew polynomial ring over D in an indeterminate x, R=D[x;??,??] consists of polynomials a_n x^n+ a_(n-1) x^(n-1)+ ???+a_0 where a_i???D with standard coefficient-wise addition and multiplication rule xa=??(a)x+ ??(a) for all a???D.
Amir, Amir Kamal, Amir Kamal Amir
core +1 more source
The discrete logarithm problem in Bergman's non-representable ring
Journal of Mathematical Cryptology, 2012 Bergman's ring , parameterized by a prime number p, is a ring with p5 elements that cannot be embedded in a ring of matrices over any commutative ring. This ring was discovered in 1974.
Banin Matan, Tsaban Boaz
doaj +1 more source
Prime ideals of skew polynomial rings and skew Laurent polynomial rings
Mathematical Journal of Okayama University, 1990 Let \(S=R[X,X^{-1};\rho]\) be a skew Laurent polynomial ring over a ring \(R\) with automorphism \(\rho\). The authors characterize those prime ideals \(P\) of \(S\) with \(P\cap R=0\) in terms of irreducible polynomials over the centre of \(Q[X,X^{-1};\rho]\), where \(Q\) is the right Martindale quotient of \(R\) with respect to the filter of non-zero
Cisneros, Eduardo +2 more
openaire +4 more sources
Automorphisms of a Certain Skew Polynomial Ring of Derivation Type
, 1990 Throughout this paper, all rings have the identity 1 and ring homomorphisms are assumed to preserve 1. We use p to denote a prime integer and F to denote a field of characteristic p. For an element α in F, we setA = F[ϰ]/(ϰp - α)F[ϰ].Moreover, by D and R,
Isao Kikumasa
core +1 more source
Radical Structures of Fuzzy Polynomial Ideals in a Ring
Discrete Dynamics in Nature and Society, 2016 We investigate the radical structure of a fuzzy polynomial ideal induced by a fuzzy ideal of a ring and study its properties. Given a fuzzy ideal β of R and a homomorphism f:R→R′, we show that if fx is the induced homomorphism of f, that is, fx(∑i=0naixi)
Hee Sik Kim, Chang Bum Kim, Keum Sook So
doaj +1 more source
Complexity of Ring Morphism Problems
, 2006 We study the complexity of the isomorphism and automorphism problems for finite rings with unity. We show that both integer factorization and graph isomorphism reduce to the problem of counting automorphisms of rings.
Saxena, Nitin, Kayal, Neeraj
core
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet S = ℤp[u, v]/〈u2, v2, uv − uv〉 be a semi-local ring, where p is a prime number. In the present article, we determine the generating sets of S and use them to construct the structures of ℤpS-additive cyclic and constacyclic codes.
Ashraf Mohammad +3 more
doaj +1 more source
Algorithmic Properties of Polynomial Rings
Journal of Symbolic Computation, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
, 2021 Cilj je ovog rada proučiti pojam polinoma, opisati njegovu algebarsku strukturu te pokazati operacije i svojstva na strukturi prstena polinoma. Rad je trodijelne strukture.
Runjić, Mateo
core
Research on algorithms of data encryption scheme that supports homomorphic arithmetical operations
Tongxin xuebao, 2015 An efficient homomorphic encryption scheme called CESIL was proposed to meet the requirements of operating on encrypted data when protecting users' privacy in computing services.CESIL included key generation algorithm,encryption algorithm,decryption ...
ANGPan Y +5 more
doaj +2 more sources