3 papers
math.RA2015
On properties of the lower central series of associative algebras
Nabilah Abughazalah, Pavel Etingof
We give an accessible introduction into the theory of lower central series of associative algebras, exhibiting the interplay between algebra, geometry and representation theory tha…
math.GR2015
Linear growth for semigroups which are disjoint unions of finitely many copies of the free monogenic semigroup
Nabilah Abughazalah, Pavel Etingof
We show that every semigroup which is a finite disjoint union of copies of the free monogenic semigroup (natural numbers under addition) has linear growth. This implies that the th…
math.GR2015
Concrete algorithms for word problem and subsemigroup problem for semigroups which are disjoint unions of finitely many copies of the free monogenic semigroup
Nabilah Abughazalah
Every semigroup which is a finite disjoint union of copies of the free mono- genic semigroup (natural numbers under addition) has soluble word prob- lem and soluble membership prob…