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Invariance of the restricted $p$-power map on integrable derivations under stable equivalences

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 نشر من قبل Lleonard Rubio Y Degrassi
 تاريخ النشر 2015
  مجال البحث
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We show that the $p$-power maps in the first Hochschild cohomology space of finite-dimensional selfinjective algebras over a field of prime characteristic $p$ commute with stable equivalences of Morita type on the subgroup of classes represented by integrable derivations. We show, by giving an example, that the $p$-power maps do not necessarily commute with arbitrary transfer maps in the Hochschild cohomology of symmetric algebras.

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