Results 31 to 40 of about 114,538 (286)
Algebraic Structure of Neutrosophic Duplets in Neutrosophic Rings
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
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The ring of multisymmetric functions [PDF]
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
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
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Algebraic relations among Goss’s zeta values on elliptic curves
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
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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
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Chinese remainder theorem secret sharing in multivariate polynomials
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
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Construction of Complex Lattice Codes via Cyclotomic Fields
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
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On one type of compactification of positive integers
A compact metric ring containing the set of positive integers as dense subset is studied.
Pasteka, Milan
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Algebraic $S$-integers of fixed degree and bounded height [PDF]
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
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The Diophantine equation ax2+2bxy−4ay2=±1
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
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