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PI-VARIETIES ASSOCIATED TO FULL QUIVERS OF REPRESENTATIONS OF ALGEBRAS.

Authors :
BELOV-KANEL, ALEXEI
ROWEN, LOUIS H.
VISHNE, UZI
Source :
Transactions of the American Mathematical Society. May2013, Vol. 365 Issue 5, p2681-2722. 42p.
Publication Year :
2013

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029947
Volume :
365
Issue :
5
Database :
Academic Search Index
Journal :
Transactions of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
85662513