Add to ORKGThe ring Z has many analogies with the ring Fp[T], where Fp is a field of prime size p. For example, for nonzero m ∈ Z and nonzero M ∈ Fp[T], the residue rings Z/(m) and Fp[T]/M are both finite. The unit groups Z × = {±1} and Fp[T] × = F×p are both finite
AbstractRecently we have used the Carlitz exponential map to define a finitely generated submodule o...
Recently, the second author has associated a finite Fq[T]-module H to the Carlitz module over a fini...
We give a definition, in the ring language, of Z_p inside Q_p and of F_p[[t]] inside F_p((t)), which...
The ring Z has many analogies with the ring Fp[T], where Fp is a field of prime size p. For example,...
This handout discusses finite fields: how to construct them, properties of elements in a finite fiel...
2014-07-30We study the computation of the structure of two finite abelian groups associated with fun...
AbstractSeveral parallel characterizations of the FIP and FCP properties are given. Also, a number o...
AbstractLetkbe a one variable rational function field over a finite field. We construct an example o...
In this note we generalize some results from finite fields to Galois rings which are finite extensio...
In this note we generalize some results from finite fields to Galois rings which are finite extensio...
AbstractLet Fq be a finite field with q elements where q is a power of a prime p. Also, let M be any...
AbstractIf q is a power of prime p, we let Fq be a finite field with q elements, R = Fq[x] the polyn...
The model theory of finite and pseudofinite fields as well as the model theory of finite and pseudo...
summary:A ring extension $R\subseteq S$ is said to be FO if it has only finitely many intermediate ...
In this report, we revised some important definitions with examples and results of ring theory such ...
AbstractRecently we have used the Carlitz exponential map to define a finitely generated submodule o...
Recently, the second author has associated a finite Fq[T]-module H to the Carlitz module over a fini...
We give a definition, in the ring language, of Z_p inside Q_p and of F_p[[t]] inside F_p((t)), which...
The ring Z has many analogies with the ring Fp[T], where Fp is a field of prime size p. For example,...
This handout discusses finite fields: how to construct them, properties of elements in a finite fiel...
2014-07-30We study the computation of the structure of two finite abelian groups associated with fun...
AbstractSeveral parallel characterizations of the FIP and FCP properties are given. Also, a number o...
AbstractLetkbe a one variable rational function field over a finite field. We construct an example o...
In this note we generalize some results from finite fields to Galois rings which are finite extensio...
In this note we generalize some results from finite fields to Galois rings which are finite extensio...
AbstractLet Fq be a finite field with q elements where q is a power of a prime p. Also, let M be any...
AbstractIf q is a power of prime p, we let Fq be a finite field with q elements, R = Fq[x] the polyn...
The model theory of finite and pseudofinite fields as well as the model theory of finite and pseudo...
summary:A ring extension $R\subseteq S$ is said to be FO if it has only finitely many intermediate ...
In this report, we revised some important definitions with examples and results of ring theory such ...
AbstractRecently we have used the Carlitz exponential map to define a finitely generated submodule o...
Recently, the second author has associated a finite Fq[T]-module H to the Carlitz module over a fini...
We give a definition, in the ring language, of Z_p inside Q_p and of F_p[[t]] inside F_p((t)), which...