English

Free topological Mal'tsev algebras

General Mathematics 2024-12-17 v1

Abstract

A brief introduction to universal algebra and the theory of topological algebras, their varieties, and free topological algebras is presented. Free topological Mal'tsev algebras are studied. Their properties, relationship with topological groups and heaps, and the problem of direct limit decomposition are considered.

Keywords

Cite

@article{arxiv.2412.10379,
  title  = {Free topological Mal'tsev algebras},
  author = {Ol'ga V. Sipacheva and Aleksandr A. Solonkov},
  journal= {arXiv preprint arXiv:2412.10379},
  year   = {2024}
}