ScholarLens Back to search
2019•Proceedings of the Royal Society of Edinburgh Section A MathematicsOpen access

Boardman–Vogt tensor products of absolutely free operads

Murray R. Bremner, Vladimir Dotsenko

Open full text 2 citations

Abstract

Abstract To the memory of Trevor Evans (1925–1991), the pioneer of interchange laws in universal algebra We establish a combinatorial model for the Boardman–Vogt tensor product of several absolutely free operads, that is, free symmetric operads that are also free as 𝕊-modules. Our results imply that such a tensor product is always a free 𝕊-module, in contrast with the results of Kock and Bremner–Madariaga on hidden commutativity for the Boardman–Vogt tensor square of the operad of non-unital associative algebras.

Open-access reader

About this research paper

What this paper is about

Abstract To the memory of Trevor Evans (1925–1991), the pioneer of interchange laws in universal algebra We establish a combinatorial model for the Boardman–Vogt tensor product of several absolutely free operads, that is, free symmetric operads that are also free as 𝕊-modules. Our results imply that such a tensor product is always a free 𝕊-module, in contrast with the results of Kock and Bremner–Madariaga on hidden commutativity for the Boardman–Vogt tensor square of the operad of non-unital associative algebras.

Why it matters

OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Abstract To the memory of Trevor Evans (1925–1991), the pioneer of interchange laws in universal algebra We establish a combinatorial model for the Boardman–Vogt tensor product of several absolutely free operads, that is, free symmetric operads that are also free as 𝕊-modules. Our results imply that such a tensor product is always a free 𝕊-module, in contrast with the results of Kock and Bremner–Madariaga on hidden commutativity for the Boardman–Vogt tensor square of the operad of non-unital associative algebras.

Key concepts: Tensor product, Tensor (intrinsic definition), Mathematics, Algebra over a field, Pure mathematics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Boardman–Vogt tensor products of absolutely free operads — Research Paper | ScholarLens