English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

The main feature of Hom-algebras is that the identities defining thestructures are twisted by linear maps. The purpose of this paper is tointroduce and study a Hom-type generalization of pre-Malcev algebras, calledHom-pre-Malcev algebras. We also introduce the notion of Kupershmidt operatorsof Hom-Malcev and Hom-pre-Malcev algebras and show the connections betweenHom-Malcev and Hom-pre-Malcev algebras using Kupershmidt operators.Hom-pre-Malcev algebras generalize Hom-pre-Lie algebras to the Hom-alternativesetting and fit into a bigger framework with a close relationship withHom-pre-alternative algebras. Finally, we establish a deformation theory ofKupershmidt operators on a Hom-Malcev algebra in consistence with the generalprinciples of deformation theories and introduce the notion of Nijenhuiselements.

Kupershmidt operators on Hom-Malcev algebras and their deformation