3 papers
math.RA2026
On dihedral invariants of the free associative algebra of rank two
Silvia Boumova, Vesselin Drensky, Şehmus Fındık
Let denote the free associative algebra of rank over a field . By results of Lane (1976) and Kharchenko (1978), the algebra of invariants $K\lan…
math.NT2020
A Diophantine transport problem from 2016 and its possible solution in 1903
Silvia Boumova, Vesselin Drensky, Boyan Kostadinov
Motivated by a recent Diophantine transport problem about how to transport profitably a group of persons or objects, we survey classical facts about solving systems of linear Dioph…
math.RA2011
Cocharacters of polynomial identities of upper triangular matrices
Silvia Boumova, Vesselin Drensky
We give an easy algorithm which calculates the generating function of the cocharacter sequence of the T-ideal of the polynomial identities of the algebra of upper triangular matric…