Results 21 to 30 of about 581 (30)

A result on polynomials derived via graph theory

open access: yes, 2019
We present an example of a result in graph theory that is used to obtain a result in another branch of mathematics. More precisely, we show that the isomorphism of certain directed graphs implies that some trinomials over finite fields have the same ...
Coulter, Robert S.   +3 more
core   +1 more source

Value sets of bivariate Chebyshev maps over finite fields

open access: yes, 2015
We determine the cardinality of the value sets of bivariate Chebyshev maps over finite fields. We achieve this using the dynamical properties of these maps and the algebraic expressions of their fixed points in terms of roots of unity.Comment: 11 pages ...
Küçüksakallı, Ömer
core   +1 more source

A Swan-like note for a family of binary pentanomials

open access: yes, 2018
In this note, we employ the techniques of Swan (Pacific J. Math. 12(3): 1099-1106, 1962) with the purpose of studying the parity of the number of the irreducible factors of the penatomial $X^n+X^{3s}+X^{2s}+X^{s}+1\in\mathbb{F}_2[X]$, where $s$ is even ...
Kapetanakis, Giorgos
core   +1 more source

Non-unique factorization of polynomials over residue class rings of the integers

open access: yes, 2011
We investigate non-unique factorization of polynomials in Z_{p^n}[x] into irreducibles. As a Noetherian ring whose zero-divisors are contained in the Jacobson radical, Z_{p^n}[x] is atomic.
Anderson D. D.   +5 more
core   +1 more source

Fuchs' problem for indecomposable abelian groups

open access: yes, 2015
More than 50 years ago, Laszlo Fuchs asked which abelian groups can be the group of units of a commutative ring. Though progress has been made, the question remains open.
Chebolu, Sunil K., Lockridge, Keir
core   +1 more source

On the operations of sequences in rings and binomial type sequences

open access: yes, 2018
Given a commutative ring with identity $R$, many different and interesting operations can be defined over the set $H_R$ of sequences of elements in $R$. These operations can also give $H_R$ the structure of a ring.
Barbero, Stefano   +2 more
core   +1 more source

Control or overcontrol for covariates? [PDF]

open access: yesEvid Based Ment Health, 2016
Streiner DL.
europepmc   +1 more source

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