Results 31 to 40 of about 114,538 (286)

Algebraic Structure of Neutrosophic Duplets in Neutrosophic Rings , Q∪I, and [PDF]

open access: yesNeutrosophic Sets and Systems, 2018
The concept of neutrosophy and indeterminacy I was introduced by Smarandache, to deal with neutralies. Since then the notions of neutrosophic rings, neutrosophic semigroups and other algebraic structures have been developed.
Vasantha W.B   +2 more
doaj   +1 more source

The ring of multisymmetric functions [PDF]

open access: yes, 2004
Let R be a commutative ring and let n,m be two positive integers. Let be the polynomial ring in m x n commuting independent variables R. The symmetric group on n letters acts diagonally on A(n,m).
Vaccarino, Francesco
core   +4 more sources

Endomorphisms and Product Bases of the Baer-Specker Group

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
The endomorphism ring of the group of all sequences of integers, the Baer-Specker group, is isomorphic to the ring of row finite infinite matrices over the integers.
E. F. Cornelius
doaj   +1 more source

Algebraic relations among Goss’s zeta values on elliptic curves

open access: yesForum 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

open access: yesInternational 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

Chinese remainder theorem secret sharing in multivariate polynomials

open access: yesЖурнал 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

Construction of Complex Lattice Codes via Cyclotomic Fields

open access: yesTrends 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   +3 more
doaj   +1 more source

On one type of compactification of positive integers

open access: yes, 2015
A compact metric ring containing the set of positive integers as dense subset is studied.
Pasteka, Milan
core   +1 more source

Algebraic $S$-integers of fixed degree and bounded height [PDF]

open access: yes, 2014
Let $k$ be a number field and $S$ a finite set of places of $k$ containing the archimedean ones. We count the number of algebraic points of bounded height whose coordinates lie in the ring of $S$-integers of $k$.
Barroero, Fabrizio
core   +1 more source

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

open access: yesInternational 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

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