79 research outputs found
Non commutative truncated polynomial extensions
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.Comment: 29 pages, We add some results about simplicirty (Prop. 1.11 and 3.6)
and a result about rigidity (Th. 4.17
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