I’ve mostly finished writing the article Identity Staroids which considers -ary identity staroids (with possibly infinite ), which generalize -ary identity relations and some related topics. (In my theory there are two kinds of identity staroids: big and small identity staroids.)
Writing of the article is mostly finished, I am going just to check it for errors and reorder the material.
After finishing with this article, I am going to integrate the article into my research monograph and publish it.
Note that there are several conjectures in my article.