AbstractIt is shown that any triangular derivation on k[X1,X2,X3,X4] sending Xi to a monomial has kernel generated by at most four elements, hence is finitely generated. An explicit formula for the generators is given
We study the variety W generated by monoids of upper-triangular boolean matrices. First, we present ...
Let R be a commutative ring with unity, A = Tri(A,M,B) be a triangular algebra consisting of unital ...
AbstractLet K be a field of characteristic zero. We show that if n ⩾ 3, given r ⩾ 0 there exists a d...
AbstractIt is shown that any triangular derivation on k[X1,X2,X3,X4] sending Xi to a monomial has ke...
AbstractIt is shown that if k is a field of characteristic zero, then the kernel of any triangular k...
Given a UFD R containing Q , we study R-elementary derivations of B = R[Y1,..., Ym], i.e., R-deriv...
AbstractLet B be the polynomial ring in three variables over a field k of characteristic zero. A k-d...
AbstractThe kernel of a certain triangular derivation of the polynomial ring k[x1,x2,x3,x4,x5] is sh...
AbstractWe introduce a technique to determine a lower bound on the number of monomials of degree d −...
AbstractGiven a UFD R containing the rationals, we study elementary derivations of the polynomial ri...
It is known that the variety Mn generated by all monoids of order n is finitely based if n ≤ 3 and n...
AbstractWe present some general properties of the field of constants of monomial derivations of k(x1...
In this article, we give a sufficient and necessary condition for every Jordan {g,h}-derivation to b...
Let f(x) ∈ Z[x] be monic and irreducible over Q, with deg(f) = n. Let K = Q(θ), where f(θ) = 0, and ...
chain conditions We have not yet established that Gröbner bases exist, or even that each ideal of k...
We study the variety W generated by monoids of upper-triangular boolean matrices. First, we present ...
Let R be a commutative ring with unity, A = Tri(A,M,B) be a triangular algebra consisting of unital ...
AbstractLet K be a field of characteristic zero. We show that if n ⩾ 3, given r ⩾ 0 there exists a d...
AbstractIt is shown that any triangular derivation on k[X1,X2,X3,X4] sending Xi to a monomial has ke...
AbstractIt is shown that if k is a field of characteristic zero, then the kernel of any triangular k...
Given a UFD R containing Q , we study R-elementary derivations of B = R[Y1,..., Ym], i.e., R-deriv...
AbstractLet B be the polynomial ring in three variables over a field k of characteristic zero. A k-d...
AbstractThe kernel of a certain triangular derivation of the polynomial ring k[x1,x2,x3,x4,x5] is sh...
AbstractWe introduce a technique to determine a lower bound on the number of monomials of degree d −...
AbstractGiven a UFD R containing the rationals, we study elementary derivations of the polynomial ri...
It is known that the variety Mn generated by all monoids of order n is finitely based if n ≤ 3 and n...
AbstractWe present some general properties of the field of constants of monomial derivations of k(x1...
In this article, we give a sufficient and necessary condition for every Jordan {g,h}-derivation to b...
Let f(x) ∈ Z[x] be monic and irreducible over Q, with deg(f) = n. Let K = Q(θ), where f(θ) = 0, and ...
chain conditions We have not yet established that Gröbner bases exist, or even that each ideal of k...
We study the variety W generated by monoids of upper-triangular boolean matrices. First, we present ...
Let R be a commutative ring with unity, A = Tri(A,M,B) be a triangular algebra consisting of unital ...
AbstractLet K be a field of characteristic zero. We show that if n ⩾ 3, given r ⩾ 0 there exists a d...
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