2013/11/02 by Lucas Earl, Earl, Lucas
Computer Science · Mathematics · #Advanced Algebra and Logic #Category Theory (math.CT) #FOS: Mathematics #Logic, Reasoning, and Knowledge #Logic, programming, and type systems #math.CT
paper · pdf · doi:10.48550/arxiv.1311.1146
Master's thesis, in Portuguese
arxiv created 2013/11/02 · openalex publication_date 2013/11/02 · arxiv updated 2013/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Topological algebras have properties that extend naturally to those of topological groups [8, 9], but is it the case that semi-direct products exist as in the category of groups? Firstly, we express concepts in categorical language that capture group properties. We then observe the results about topological groups now extended to varieties of topological algebras. We conclude showing that for topological algebras obeying certain axioms, there exist semi-direct products which we caracterize like in [17].