A non-abelian exterior product of Hom-Leibniz algebras
Behrouz Edalatzadeha, Seyedeh Narges Hosseinib, Ali Reza Salemkarb
TL;DR
This paper introduces a non-abelian exterior product for Hom-Leibniz algebras, explores its relation to homology and capability, and constructs an exact sequence to advance the algebraic theory.
Contribution
It presents the first definition of a non-abelian exterior product for Hom-Leibniz algebras and links it to homology and capability concepts.
Findings
Defined a non-abelian exterior product for Hom-Leibniz algebras
Constructed an eight-term exact sequence in homology
Connected the notion of capability to the exterior product
Abstract
In this paper, we introduce a non-abelian exterior product of Hom-Leibniz algebras and investigate its relative to the Hopf's formula. We also construct an eight-term exact sequence in the homology of Hom-Leibniz algebras. Finally, we relate the notion of capability of a Hom-Leibniz algebra to its exterior product.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras