The first cohomology group of the trivial extension of a monomial algebra

Details The first cohomology group of the trivial extension of a monomial algebra The first cohomology group of the trivial extension of a monomial algebra

2002-10-18

arxiv.org/abs/math/0210284v2

Mathematics

K-Theory and Homology

Final version to be published in Journal of Algebra and Its Applications (JAA). Small changes from previous version. 13 pages

Scientific paper

Given a finite--dimensional monomial algebra $A$ we consider the trivial
extension $TA$ and provide formulae, depending on the characteristic of the
field, for the dimensions of the summands $HH_1(A)$ and $\Alt(DA)$ of the first
Hochschild cohomology group $HH^1(TA)$. From these a formula for the dimension
of $HH^1(TA)$ can be derived.

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