Results 71 to 80 of about 199,462 (178)
Radicals of skew polynomial rings and skew Laurent polynomial rings
Journal of Algebra, 2011 In this paper, \(R\) denotes an associative ring with identity, and \(\sigma\) stands for an automorphism of \(R\). \(W(R)\), \(L(R)\) and \(N(R)\) denote the Wedderburn radical, the Levitzki radical and the upper nil radical of \(R\), respectively. An ideal \(I\) of \(R\) is called a \(\sigma\)-ideal if \(\sigma(I)\subseteq I\).
Hong, Chan Yong +2 more
openaire +2 more sources
Uniserial Rings and Skew Polynomial Rings
Tokyo Journal of Mathematics, 1984 If \(\tau\) is an automorphism of a division ring D then, for each positive integer c, the factor ring \(S/x^ cS\) of the skew polynomial ring \(S=D[x;\tau]\) is a local uniserial ring of split type. The purpose of this paper is to establish a necessary and sufficient condition on a local uniserial ring R for R to be isomorphic to a ring of the above ...
openaire +3 more sources
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
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
More on Codes Over Finite Quotients of Polynomial Rings
IEEE AccessLet $q=p^{r}$ be a prime power, ${\mathbb {F}}_{q}$ be the finite field of order q and $f(x)$ be a monic polynomial in ${\mathbb {F}}_{q}[x]$ . Set ${\mathbb {A}}:={\mathbb {F}}_{q}[x]/{\left \lt {{ f(x) }}\right \gt }$ .
Emad Kadhim Al-Lami +3 more
doaj +1 more source
Polynomial rings over a Hilbert ring.
Michigan Mathematical Journal, 1984 A commutative ring R with identity is called a Hilbert ring if every prime ideal of R is an intersection of maximal ideals. The paper discusses some open questions surrounding an incorrect result by R. Gilmer, which asserts that if R is a Hilbert ring and if \(\{X_{\lambda}\}_{\lambda \in \Lambda}\) is an infinite set of indeterminates such that for ...
openaire +3 more sources
Jordan derivations of polynomial rings
Karpatsʹkì Matematičnì Publìkacìï, 2009 We study connections between the set of Jordan derivations of aring $R$ and the sets of Jordan derivations of a polynomial ring$R[x_1,dots,x_n]$ and formal power series ring$R[[x_1,dots,x_n]]$.
I. I. Lishchynsky
doaj
About j{\mathscr{j}}-Noetherian rings
Open MathematicsLet RR be a commutative ring with identity and j{\mathscr{j}} an ideal of RR. An ideal II of RR is said to be a j{\mathscr{j}}-ideal if I⊈jI\hspace{0.33em} \nsubseteq \hspace{0.33em}{\mathscr{j}}.
Alhazmy Khaled +3 more
doaj +1 more source