论文标题
间际和三元素的多脑群
Interassociativity and three-element doppelsemigroups
论文作者
论文摘要
在本文中，我们表征了某些非隔离半群的所有缔约剂，并描述了同构的所有三元素（强）doppelsemigroups及其自动形态组。我们证明，存在$ 75 $成对的非同态三元素doppelsemigroups，其中$ 41 $ doppelsemigroups是可交换的。非交换性的doppelsemigroups分为$ 17 $对双doppelsemigroups。同样为同构，$ 3 $ 3 $的$ 65 $强的doppelsemigroups $ 3 $，并且所有非施加多的doppelsemigroups都不是可交换的。
In the paper we characterize all interassociates of some non-inverse semigroups and describe up to isomorphism all three-element (strong) doppelsemigroups and their automorphism groups. We prove that there exist $75$ pairwise non-isomorphic three-element doppelsemigroups among which $41$ doppelsemigroups are commutative. Non-commutative doppelsemigroups are divided into $17$ pairs of dual doppelsemigroups. Also up to isomorphism there are $65$ strong doppelsemigroups of order $3$, and all non-strong doppelsemigroups are not commutative.
