Abstract
AbstractThe aim of this paper is to introduce Hom-Novikov color algebra and give some constructions of Hom-Novikov color algebras from a given one and a (weak) morphism. Other constructions using linear operators (bijective linear maps, averaging operators, Rota-Baxter operators, Nijenhuis operators, elements of centroid, derivations), direct sums, multipliers and tensor products are given. We also proved that any Hom-Novikov color algebra is Hom-Lie admissible. Moreover, we introduce Hom-quadratic Hom-Novikov color algebras and provide some properties by twisting. It is also shown that the Hom-Lie color algebra associated to a given quadratic Hom-Novikov color algebra is also quadratic. Finally, we study central extensions of Hom-Novikov color algebras.KeywordsHom-Novikov color algebraLinear operatorsTwistingHom-quadratic Hom-Novikov color algebrasCentral extensions
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
