PI-varieties associated to full quivers of representations of algebras

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Abstract

In an earlier paper, we introduced the notion of full quivers of representations of algebras, which are more explicit than quivers of algebras. Here, we consider full quivers (as well as pseudo-quivers) as a combinatoric tool in order to describe PI-varieties of algebras. Each full quiver is naturally associated to a polynomial that encapsulates trace-like properties of the underlying algebra.

Original languageEnglish
Pages (from-to)2681-2722
Number of pages42
JournalTransactions of the American Mathematical Society
Volume365
Issue number5
DOIs
StatePublished - 2013

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