AbstractWe prove a criterion for the irreducibility of the polynomials in one indeterminate with the coefficients in the valuation ring of a discrete valued field. From this result we deduce the Schönemann, Eisenstein, and Akira irreducibility criteria. The results obtained can also be used for proving that some polynomials in several indeterminates are irreducible
In its simplest form, the statement of Hilbert's irreducibility theorem says that for an irreducible...
AbstractWe characterize the polynomials P(X, Y) that are irreducible over a number field K and such ...
In 1956, Ehrenfeucht proved that a polynomial f <SUB>1</SUB>(x <SUB>1</SUB>) + · + f <SUB>n</SUB> (x...
Some generalizations of the classical Eisenstein and Schönemann Irreducibility Criteria and their ap...
Some generalizations of the classical Eisenstein and Schönemann Irreducibility Criteria and their ap...
Let ν be a valuation of any rank of a field K with value group G<SUB>ν</SUB> and f(X)= X<SUP>m</SUP>...
One of the results generalizing Eisenstein Irreducibility Criterion states that if φ(x) = anxn+...
One of the results generalizing Eisenstein Irreducibility Criterion states that if φ(x) = anxn+...
Abstract. In [4] we showed that a polynomial over a Noetherian ring is divisible by some other polyn...
We present a simple proof of Königsberg's Criterion, [K] p.69 and also present families of irreducib...
We present a simple proof of Königsberg's Criterion, [K] p.69 and also present families of irreducib...
A multivariable polynomial is associated with a polytope, called its Newton polytope. A polynomial i...
We prove an irreducibility criterion for polynomials with power series coefficients generalizing pre...
AbstractThe paper presents two irreducibility criteria for the elements of a large class of skew-pol...
AbstractThis work is a continuation and extension of our earlier articles on irreducible polynomials...
In its simplest form, the statement of Hilbert's irreducibility theorem says that for an irreducible...
AbstractWe characterize the polynomials P(X, Y) that are irreducible over a number field K and such ...
In 1956, Ehrenfeucht proved that a polynomial f <SUB>1</SUB>(x <SUB>1</SUB>) + · + f <SUB>n</SUB> (x...
Some generalizations of the classical Eisenstein and Schönemann Irreducibility Criteria and their ap...
Some generalizations of the classical Eisenstein and Schönemann Irreducibility Criteria and their ap...
Let ν be a valuation of any rank of a field K with value group G<SUB>ν</SUB> and f(X)= X<SUP>m</SUP>...
One of the results generalizing Eisenstein Irreducibility Criterion states that if φ(x) = anxn+...
One of the results generalizing Eisenstein Irreducibility Criterion states that if φ(x) = anxn+...
Abstract. In [4] we showed that a polynomial over a Noetherian ring is divisible by some other polyn...
We present a simple proof of Königsberg's Criterion, [K] p.69 and also present families of irreducib...
We present a simple proof of Königsberg's Criterion, [K] p.69 and also present families of irreducib...
A multivariable polynomial is associated with a polytope, called its Newton polytope. A polynomial i...
We prove an irreducibility criterion for polynomials with power series coefficients generalizing pre...
AbstractThe paper presents two irreducibility criteria for the elements of a large class of skew-pol...
AbstractThis work is a continuation and extension of our earlier articles on irreducible polynomials...
In its simplest form, the statement of Hilbert's irreducibility theorem says that for an irreducible...
AbstractWe characterize the polynomials P(X, Y) that are irreducible over a number field K and such ...
In 1956, Ehrenfeucht proved that a polynomial f <SUB>1</SUB>(x <SUB>1</SUB>) + · + f <SUB>n</SUB> (x...
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