TY - JOUR
T1 - PI-varieties associated to full quivers of representations of algebras
AU - Belov-Kanel, Alexei
AU - Rowen, Louis H.
AU - Vishne, Uzi
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84874199609&partnerID=8YFLogxK
U2 - 10.1090/S0002-9947-2012-05709-6
DO - 10.1090/S0002-9947-2012-05709-6
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AN - SCOPUS:84874199609
SN - 0002-9947
VL - 365
SP - 2681
EP - 2722
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 5
ER -