Open Problems and Solutions
The collections of open problems that are of interest include
- The list in Gunter Pilz's
book, page 435.
- Stuart Scott's article
"Some interesting open problems" in the
Near-ring
Newsletter Number 16 of January 1995, p 160.
The known solved problems include:
- Stuart Scott's Problem 4. Erhard Aichinger believes that
the problem is solved as a result of Kalle Kaarli's
paper "On near-rings generated by endomorphisms of some groups",
Tartu Riikl Ül. Toimetised 464, Trudy Mat. i. Mech No. 22 (1978), pp3-12.
MR 80a-16049. Unfortunately the paper is in
Russian (with Estonian and English summaries),
as well as being incredibly hard to find. If the problem
is not solved as a result of this paper, then a direct solution
will be forthcoming.