Pith. sign in

REVIEW 1 cited by

Anti-Leibniz algebras: A non-commutative version of mock-Lie algebra

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2409.17184 v2 pith:ATNOAMIL submitted 2024-09-24 math.RA math.RT

Safa Braiek , Taoufik Chtioui , Sami Mabrouk This is my paper · ORCID
classification math.RAmath.RT
keywords algebrasanti-leibnizanti-associativemock-lienotiontrialgebrasversionalgebra
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

Leibniz algebras are non skew-symmetric generalization of Lie algebras. In this paper we introduce the notion of anti-Leibniz algebras as a "non commutative version" of mock-Lie algebras. Low dimensional classification of such algebras is given. Then we investigate the notion of averaging operators and more general embedding tensors to build some new algebraic structures, namely anti-associative dialgebras, anti-associative trialgebras and anti-Leibniz trialgebras.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Embedding tensors on 3-Leibniz algebras and their derived algebraic structures and deformations

    math.RA 2025-02 reject novelty 5.0 of 10

    Embedding tensors on 3-Leibniz algebras induce 3-tri-Leibniz algebras, but the paper's deformation-cohomology bijection fails for the zero embedding tensor.

Pith tools