Abstract
称一个半群为变色龙,如果它既是一个有限基对合半群的约简，又是一个非有限基对合半群的约简。目前已知的变色龙最小的阶数为8，本文构造了两个阶数更小的变色龙，一个是阶数为7的半群，另一个是阶数为6的幺半群，后者恰好是幺半群中阶数最小的一个变色龙。
A semigroup is a chameleon if it is the reduct of both a finitely based involution semigroup and a non-finitely based involution semigroup. Presently, the smallest published example of a chameleon is of order eight. This article constructs two smaller examples: a semigroup of order seven and a monoid of order six. The latter turns out to be a smallest chameleon among monoids.
A semigroup is a chameleon if it is the reduct of both a finitely based involution semigroup and a non-finitely based involution semigroup. Presently, the smallest published example of a chameleon is of order eight. This article constructs two smaller examples: a semigroup of order seven and a monoid of order six. The latter turns out to be a smallest chameleon among monoids.
| Translated title of the contribution | A smallest chameleon among monoids |
|---|---|
| Original language | Chinese (Simplified) |
| Pages (from-to) | 1–4 |
| Journal | Journal of Northwest Normal University (Natural Science) |
| Volume | 60 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2024 |
Keywords
- Semigroup
- Monoid
- Involution semigroup
- Finitely based
- Chameleon
Disciplines
- Mathematics