Results 21 to 30 of about 2,443 (266)

Rings of Integer-Valued Continuous Functions [PDF]

Transactions of the American Mathematical Society, 1961
During the past twenty years extensive work has been done on the ring C(X). The pioneer papers in the subject are [8] for compact X and [3] for arbitrary X. A significant part of this work has recently been summarized in the book [2]. Concerning the ring C(X, Z), very little has been written. This is natural, since C(X, Z) is less important in problems
openaire   +2 more sources

Construction of Complex Lattice Codes via Cyclotomic Fields

Trends in Computational and Applied Mathematics, 2022
Through algebraic number theory and Construction $A$ we extend an algebraic procedure which generates complex lattice codes from the polynomial ring \mathbb{F}_{2}[x]/(x^{n}-1), where \mathbb{F}_{2}=\{0,1\}, by using ideals from the generalized ...
E. D. Carvalho, A. A. Andrade, T. Shah, C. C. Trinca   +3 more
doaj   +1 more source

Chinese remainder theorem secret sharing in multivariate polynomials

Журнал Белорусского государственного университета: Математика, информатика, 2019
This paper deals with a generalization of the secret sharing using Chinese remainder theorem over the integers to multivariate polynomials over a finite field. We work with the ideals and their Gröbner bases instead of integer moduli.
Gennadii V. Matveev
doaj   +1 more source

Algebraic relations among Goss’s zeta values on elliptic curves

Forum of Mathematics, Sigma, 2023
In 2007 Chang and Yu determined all the algebraic relations among Goss’s zeta values for $A=\mathbb F_q[\theta ]$ , also known as the Carlitz zeta values.
Nathan Green, Tuan Ngo Dac
doaj   +1 more source

Combinatorial integers (m,nj) and Schubert calculus in the integral cohomology ring of infinite smooth flag manifolds

International Journal of Mathematics and Mathematical Sciences, 2006
We discuss the calculation of integral cohomology ring of LG/T and ΩG. First we describe the root system and Weyl group of LG, then we give some homotopy equivalences on the loop groups and homogeneous spaces, and calculate the cohomology ring structures
Cenap Özel, Erol Yilmaz
doaj   +1 more source

The Diophantine equation ax2+2bxy−4ay2=±1

International Journal of Mathematics and Mathematical Sciences, 2003
We discuss, with the aid of arithmetical properties of the ring of the Gaussian integers, the solvability of the Diophantine equation ax2+2bxy−4ay2=±1, where a and b are nonnegative integers.
Lionel Bapoungué
doaj   +1 more source

On equivalence of pairs of matrices, which determinants are primes powers, over quadratic Euclidean rings

Karpatsʹkì Matematičnì Publìkacìï, 2013
We establish that a pair of matrices, which determinants are primes powers, can  be reduced over quadratic Euclidean ring $\mathbb{K}=\mathbb{Z}[\sqrt{k}]$ to their triangular forms with invariant factors on a main diagonal by using the common ...
N.B. Ladzoryshyn
doaj   +1 more source

Cube-root-subgroups of SL2 over imaginary quadratic integers [PDF]

Computer Science Journal of Moldova, 2021
All cube roots of the identity in the special linear group of $2\times 2$-matrices with entries in the ring of integers in $\mathbb Q[\sqrt{d}]$ are described.
Miroslav Kures
doaj  

On Generation of the Group $PGL_n(\mathbb{Z}+i\mathbb{Z})$ by Three Involutions, Two of which Commute

Известия Иркутского государственного университета: Серия "Математика"
The results of the paper relate to the following general problem. Find natural finite generating  sets of elements of a given linear group over a finitely generated commutative ring.
Ya.N. Nuzhin, T. B. Shaipova
doaj   +1 more source

On periodic rings

International Journal of Mathematics and Mathematical Sciences, 2001
It is proved that a ring is periodic if and only if, for any elements x and y, there exist positive integers k,l,m, and n with either k≠m or l≠n, depending on x and y, for which xkyl=xmyn. Necessary and sufficient conditions are established for a ring to
Xiankun Du, Qi Yi
doaj   +1 more source