Let f(x) ∈ Z[x] be monic and irreducible over Q, with deg(f) = n. Let K = Q(θ), where f(θ) = 0, and let ZK denote the ring of integers of K. We say f(x) is non-monogenic if � 1, θ, θ2 , . . . , θn−1 is not a basis for ZK. By extending ideas of Ratliff, Rush and Shah, we construct infinite families of non-monogenic trinomials
AbstractLet F be a field and let G be a finite graph with a total ordering on its edge set. Richard ...
none4noA general setting for a standard monomial theory on a multiset is introduced and applied to t...
These notes describe some of the key algorithms for non-commutative polyno-mial rings. They are inte...
Let $K=\Q(\theta)$ be a number field generated by a complex root $\th$ of a monic irreducible trinom...
Let $K$ be a number field generated by a complex root $\theta$ of a monic irreducible trinomial $ F(...
AbstractLet K/Q be a cyclic extension of degree l. Let ZK be the ring of integers of K. We say that ...
By the primitive element theorem, any number field K of degree n can be written as Q(α) for some α i...
AbstractThis paper concerns trinomial extensions of Q with prescribed ramification behavior. We firs...
Let K be an abeilian field over the rationals Q and let Z_K be the ring of integers of K.K is said t...
In this paper, we deal with the problem of monogenity of number fields defined by monic irreducible ...
prove the theorem for the univariate case and then for the multivariate case. Our proof for the latt...
We give a practical criterion characterizing the monogenicity of the integral clo-sure of a Dedekind...
AbstractFor a regular ring R and an affine monoid M the homotheties of M act nilpotently on the Miln...
Cette thèse est centrée autour de la monogénéité de corps de nombres en situation relative puis à la...
The aim of this paper is to determine the monogenity of imaginary, and real biquadratic fields K ove...
AbstractLet F be a field and let G be a finite graph with a total ordering on its edge set. Richard ...
none4noA general setting for a standard monomial theory on a multiset is introduced and applied to t...
These notes describe some of the key algorithms for non-commutative polyno-mial rings. They are inte...
Let $K=\Q(\theta)$ be a number field generated by a complex root $\th$ of a monic irreducible trinom...
Let $K$ be a number field generated by a complex root $\theta$ of a monic irreducible trinomial $ F(...
AbstractLet K/Q be a cyclic extension of degree l. Let ZK be the ring of integers of K. We say that ...
By the primitive element theorem, any number field K of degree n can be written as Q(α) for some α i...
AbstractThis paper concerns trinomial extensions of Q with prescribed ramification behavior. We firs...
Let K be an abeilian field over the rationals Q and let Z_K be the ring of integers of K.K is said t...
In this paper, we deal with the problem of monogenity of number fields defined by monic irreducible ...
prove the theorem for the univariate case and then for the multivariate case. Our proof for the latt...
We give a practical criterion characterizing the monogenicity of the integral clo-sure of a Dedekind...
AbstractFor a regular ring R and an affine monoid M the homotheties of M act nilpotently on the Miln...
Cette thèse est centrée autour de la monogénéité de corps de nombres en situation relative puis à la...
The aim of this paper is to determine the monogenity of imaginary, and real biquadratic fields K ove...
AbstractLet F be a field and let G be a finite graph with a total ordering on its edge set. Richard ...
none4noA general setting for a standard monomial theory on a multiset is introduced and applied to t...
These notes describe some of the key algorithms for non-commutative polyno-mial rings. They are inte...
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