Mathematics – Rings and Algebras
Scientific paper
2010-08-24
Mathematics
Rings and Algebras
29 pages, We add some results about simplicirty (Prop. 1.11 and 3.6) and a result about rigidity (Th. 4.17)
Scientific paper
We introduce the notion of non commutative truncated polynomial extension of
an algebra A. We study two families of these extensions. For the first one we
obtain a complete classification and for the second one, which we call upper
triangular, we find that the obstructions to inductively construct them, lie in
the Hochschild homology of A, with coefficients in a suitable A-bimodule.
Guccione Jorge A.
Guccione Juan J.
Valqui Christian
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