[PDF] Top 20 Finite nonassociative algebras obtained from skew polynomials and possible applications to (f, σ, δ) codes
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Finite nonassociative algebras obtained from skew polynomials and possible applications to (f, σ, δ) codes
... any f ∈ R = S[t; σ, δ], R/Rf is an R-module with the module structure given by the multiplication g(h + Rf ) = gh + Rf = r + Rf if r is the reminder of gh after right dividing by f ...a ... See full document
21
How to obtain lattices from (f,σ,δ) codes via a generalization of Construction A
... ( f, σ, δ)-codes over finite rings canonically induce a Z- lattice in R N by using certain quotients of orders in nonassociative division algebras defined using the ... See full document
21
Quotients of orders in algebras obtained from skew polynomials with applications to coding theory
... generalized nonassociative cyclic division algebras and their natural orders, because of their role in designing both linear σ-constacyclic codes and in building fast-decodable space-time ... See full document
22
2-primal weak (σ,δ)-rigid rings
... endomorphism σ of R and δ a σ -derivation of R, we introduce a weak (σ , δ )-rigid ring, which generalizes the notion of (σ ,δ )-rigid rings and investigate its ... See full document
13
Some notes on the characterization of two dimensional skew cyclic codes
... is skew cyclic code was intro- duced by Boucher et ...considered skew cyclic codes as left ideals over skew polynomial ...dimensional skew cyclic ...dimensional skew cyclic ... See full document
8
Soluble Lie rings
... Finitely generated abelian by nilpotent groups are residually finite... have been obtained for Lie algebras:.[r] ... See full document
125
Exponentiating derivations of quasi ∗ algebras: possible approaches and applications
... a finite or an infinite number of degrees of freedom is mathematically a fact which follows directly from the noncommutative nature of the quantum world in the sense that, as a consequence of the Wiener-von ... See full document
16
The multiplicative loops of Jha Johnson semifields
... all finite loops have a trivial automorphism group ...find finite loops with a non-trivial automorphism group is to find semifields ...(i.e., finite unital nonassociative division ... See full document
18
Regular proper *-semigroup embeddings and involutionstitle
... follows from Theorem A that (D[S], ∗) is proper * and ...is finite. Let J be a nil ideal in D[S]. Since S is finite and the D-module D[S] is isomorphic to the direct sum of |S| copies of the ... See full document
14
On σ type zero of Sheffer polynomials
... [] obtained an interesting characterization of Appell polynomials by means of the Stieltjes ...Appell polynomials and the as- sociated classes of polynomial expansions and some cases have also been ... See full document
9
Cocharacters of upper triangular matrices
... where λ ` l, µ ` m and l + m = n. Then in the computation of products of Schur functions we are allowed to use the combinatorial tool of the Littlewwod-Richardson rule. In most of the cases we shall use a very partial ... See full document
29
2. Approximately $n$-multiplicative and approximately additive functions in normed algebras
... < δ < 1 and n an odd number. Suppose φ : A → R is (ε, δ, n)-multiplicative such that in the case where φ is an additive and n-multiplicative, we have 1 ∈ ...+ δ) 1/(n−1) ...+ δ) 1/(n−1) ... See full document
8
Geometry of Finite Dimensional Moment Spaces and Applications to Orthogonal Polynomials
... Since in this case all the supporting -a planes to Dn are parallel to the x -axis, the linear manifold n Lx will contain, in add.i tion to the simplex of convex combinations of the point[r] ... See full document
98
Mappings and decompositions of continuity on almost Lindelöf spaces
... , σ = { φ, { x } , { y } , { x, y } ,Y } on X, Y , respectively. Now if f : (X,τ) → (Y ,σ) is a function defined as f (a) = z and f (b) = f (c) = f (d) = y, then f ... See full document
7
Some cyclic codes of length ${8p^n}$ over $GF(q)$, where order of $q$ modulo $8p^n$ is $\frac{\phi{(p^n)}}{2}$
... are (x −1), (x 2 − β ), (x − β ), (x 2 + β ), (x + 1) and (x + β ) respectively. The corresponding generating polynomials are (1 + x + x 2 + ... + x 8p n −1 ), (x 4 − 1)(x 2 + β )(1 + x 8 + ... + x 8(p n −1) ), (x ... See full document
24
Symmetric biderivations on Banach algebras
... Thus f : A 2 → A is a skew-symmetric ...let f : A 2 → A be a mapping satisfying (3.1) and f (x, 0) = f (0, z) = 0 for all x, z ∈ ... See full document
14
Asymptotic expansions and positivity of coefficients for large powers of analytic functions
... We now briefly describe the content of this paper. In Section 2, we derive some preliminary asymptotic expansions for certain integrals. In Section 3, we show that if f is strongly positive at r , it is ... See full document
23
Nonassociative geometry in quasi Hopf representation categories II: connections and curvature
... plicitly the curvatures of tensor product connections given by our construction in Theorem 4.8. We conclude by giving a brief sketch of how our formalism can be used to describe a non- commutative and ... See full document
29
(L,M) Fuzzy σ Algebras
... When σ is an L, M-fuzzy σ-algebra on X, X, σ is called an L, M-fuzzy measurable ...2-fuzzy σ-algebra is also called an L-σ-algebra. A Klement σ-algebra can be viewed as a ... See full document
11
Nonassociative differential extensions of characteristic p
... ∈ F by Lemma 5 ...follows from Theorem 14. Example 16. Let δ have minimum polynomial g(t) = t p − t ∈ ...and δ be the extension of δ to K(x) via δ(x) = ...= F(x) and g(t) ... See full document
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