论文标题
半群的二进制标准器
The binary quasiorder on semigroups
论文作者
论文摘要
给定两个元素$ x，y semigroup $ x $的y $，我们写$ x \ lyssim y $，如果每个同构$χ：x \ to \ to \ {0,1 \} $，我们有$χ（x）\ le ub（y）$。 $ \ $ $ $ $ $ $ $ $ QUASIORDER $上的Quasiorder $ \ lyssim $上的$ x $。它诱导了等价关系$ \ UPDOWNARROW $，它与$ x $的最小半一致性相吻合。在论文中，我们讨论了二进制测序者在半群中的一些已知和新属性。
Given two elements $x,y$ of a semigroup $X$ we write $x\lesssim y$ if for every homomorphism $χ:X\to\{0,1\}$ we have $χ(x)\leχ(y)$. The quasiorder $\lesssim$ is called the $binary$ $quasiorder$ on $X$. It induces the equivalence relation $\Updownarrow$ that coincides with the least semilattice congruence on $X$. In the paper we discuss some known and new properties of the binary quasiorder on semigroups.
