Operad with a prescribed element

Xuan Yu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We study operad with a prescribed element (of its underlying degree one component), generalize some of the classical results of Gerstenhaber and Voronov [M. Gerstenhaber and A. A. Voronov, Homotopy G-algebras and moduli space operad, Int. Math. Res. Not. 3 (1995) 141-153]. In particular, we introduce and show that Hom-Loday algebra cohomologies carry such structures when the Hom-structure twist is an idempotent.

Original languageEnglish
Article number18501748
JournalJournal of Algebra and its Applications
Issue number9
Publication statusPublished - 1 Sept 2018
Externally publishedYes


  • Gerstenhaber algebras
  • Hochschild cohomology
  • Hom-Loday algebras
  • Operad


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