We consider an algebra satisfying a polynomial identity (PI-algebra) and we define what the language generated by its T-ideal is. We conjecture the T-ideal of any PI-algebra is regular and in this paper we give results supporting the conjecture by computing the language of several classes of PI-algebras. Among them, we compute the language generated by some algebras of glued cells that are a useful tool to better understand the so-called Zariski-closed algebras.
On the regularity of the language of some T-ideals
Centrone L.
Writing – Review & Editing
;La Scala R.Writing – Review & Editing
2025-01-01
Abstract
We consider an algebra satisfying a polynomial identity (PI-algebra) and we define what the language generated by its T-ideal is. We conjecture the T-ideal of any PI-algebra is regular and in this paper we give results supporting the conjecture by computing the language of several classes of PI-algebras. Among them, we compute the language generated by some algebras of glued cells that are a useful tool to better understand the so-called Zariski-closed algebras.File in questo prodotto:
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