On the Hochschild cohomology of a map between commutative differential graded algebras
We consider a surjective morphism between commutative differential graded algebras : (∧ , ) → ( , ), where is finite dimensional, and ( , ) is a module over ∧ via the mapping . We show that the Hochschild cohomology (∧ ; ) can be computed in terms of the graded vector space of positive -derivations....
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| Veröffentlicht in: | Topological algebra and its applications 2022-09, Vol.10 (1), p.132-140 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We consider a surjective morphism between commutative differential graded algebras
: (∧
,
) → (
,
), where
is finite dimensional, and (
,
) is a module over ∧
via the mapping
. We show that the Hochschild cohomology
(∧
;
) can be computed in terms of the graded vector space of positive
-derivations. Moreover, if
is finite dimensional, then
(∧
;
) contains a polynomial algebra. |
|---|---|
| ISSN: | 2299-3231 2299-3231 |
| DOI: | 10.1515/taa-2022-0119 |