Some algebraic structures that are noncommutative, or nonassociative, or nondistributive

In this paper, we introduce and give examples of some interesting algebraic structures that are noncommutative, or nonassociative, or nondistributive: Lie-admissible algebras like pre-Lie algebras, gyrogroups, multiplicative lattices, digroups, skew braces and heaps.

Authors

Alberto Facchini (ORCID: https://orcid.org/0000-0002-0144-0193)

Institutions

University of Padua (IT)

Publication Details

Journal: Journal of Algebra and Its Applications
Published: 2025-06-11
DOI: https://doi.org/10.1142/s0219498825420095
Primary Topic: Advanced Algebra and Logic
Type: article
Field-Weighted Citation Impact: 0.00

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article

Some algebraic structures that are noncommutative, or nonassociative, or nondistributive

Alberto Facchini

Jun 11, 2025

Journal of Algebra and Its Applications

Advanced Algebra and Logic

article

Some algebraic structures that are noncommutative, or nonassociative, or nondistributive

Alberto Facchini

June 11, 2025article en

Abstract

Journal of Algebra and Its Applications

University of Padua (IT)

Reduced inequalities

Openalex Percentile: Top 85%

Advanced Algebra and Logic

DOI Source OpenAlex

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Some algebraic structures that are noncommutative, or nonassociative, or nondistributive — Alberto Facchini · Journal of Algebra and Its Applications (2025) | TGRS Research Map | TGRS