New diamond journal

Peter Cameron's Blog 2025-12-20

Welcome to a new diamond open access journal, JoNAS (the Journal of Non-Associative Structures).

From the web page:

JoNAS, the Journal of Non-Associative Structures, is a diamond open-access, electronic, international research journal that publishes research and survey articles in mathematics since 2026. It is dedicated to publishing high-quality original research articles in non-associative algebra and its applications to geometry, combinatorics, mathematical analysis, mathematical physics, and other areas of pure and applied mathematics. The journal does not charge author processing fees of any sort, and all published articles are available for free.

This led me to wonder about the term “non-associative”, which could have two possible meanings: not necessarily associative, or definitely not associative. In terms of things that are much studied, there seem three different cases:

  • Non-associative except in very degenerate special cases, such as Lie algebras.
  • Mostly non-associative, but associative in some very interesting special cases, such as loops. (Though only an extremist would consider group theory to be a subdiscipline of loop theory!)
  • Mostly associative, but non-associative in some very interesting special cases. Stretching the meaning a bit, I would put Jordan algebras here. Most of them are built from associative algebras using the Jordan product, but there are exceptional Jordan algebras.

I am guessing that they would welcome papers on Jordan algebras but not hard-core group theory.