15 citations · 18 across the 7 of their papers we have counts for
5 papers · 1 filter
Context-free languages and associative algebras with algebraic Hilbert series
Roberto La Scala, Dmitri Piontkovski
In this paper, homological methods together with the theory of formal languages of theoretical computer science are proved to be effective tools to determine the growth and the Hil…
Noncommutative algebras, context-free grammars and algebraic Hilbert series
Roberto La Scala, Dmitri Piontkovski, Sharwan K. Tiwari
In this paper we introduce a class of noncommutative (finitely generated) monomial algebras whose Hilbert series are algebraic functions. We use the concept of graded homology and…
Defining Relations of Low Degree of Invariants of Two Matrices
Vesselin Drensky, Roberto La Scala
Over a field K of characteristic 0, we study the algebra of invariants of the general linear group GL(4,K) acting by simultaneous conjugation on two matrices of order 4. It coincid…
Groebner bases of ideals invariant under endomorphisms
Vesselin Drensky, Roberto La Scala
We introduce the notion of Groebner S-basis of an ideal of the free associative algebra K<X> over a field K invariant under the action of a semigroup S of endomorphisms of the alge…
The Knuth-Robinson-Schensted correspondence and the Weak Polynomial Identities of
Onofrio Mario Di Vincenzo, Roberto La Scala
In this paper it is proved that the ideal of the weak polynomial identities of the superalgebra is generated by the proper polynomials and $[x_2,…