Results 21 to 30 of about 581 (30)
A result on polynomials derived via graph theory
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
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
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
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
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
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
Periodic harmonic functions on lattices and points count in positive characteristic
Zaidenberg Mikhail
doaj +1 more source
Control or overcontrol for covariates? [PDF]
Streiner DL.
europepmc +1 more source
Sylow p-groups of polynomial permutations on the integers mod [Formula: see text].
Frisch S, Krenn D.
europepmc +1 more source

