论文标题
最小网络在反向半群上引起的准那天之间的关系
Relationships among quasivarieties induced by the min networks on inverse semigroups
论文作者
论文摘要
一致性的逆半群$ s $由其内核和痕迹唯一确定。 Denoting by $ρ_k$ and $ρ_t$ the least congruence on $S$ having the same kernel and the same trace as $ρ$, respectively, and denoting by $ω$ the universal congruence on $S$, we consider the sequence $ω$, $ω_k$, $ω_t$, $(ω_k)_t$, $(ω_t)_k$, $（（ω_k）_t）_k $，$（（ω_t）_K）_t $，$ \ cdots $。 $ \ {s/ω_k\} $，$ \ {s/ω_t\} $，$ \ {s/（ω_k）_t \} $，$ \ {s/（ω__t）_k \} $ \ {s/（（（ω_t）_k）_t \} $，$ \ cdots $，$ s $在所有反向半群上运行，形成quasivarieties。本文探讨了这些准里埃之间的关系。
A congruence on an inverse semigroup $S$ is determined uniquely by its kernel and trace. Denoting by $ρ_k$ and $ρ_t$ the least congruence on $S$ having the same kernel and the same trace as $ρ$, respectively, and denoting by $ω$ the universal congruence on $S$, we consider the sequence $ω$, $ω_k$, $ω_t$, $(ω_k)_t$, $(ω_t)_k$, $((ω_k)_t)_k$, $((ω_t)_k)_t$, $\cdots$. The quotients $\{S/ω_k\}$, $\{S/ω_t\}$, $\{S/(ω_k)_t\}$, $\{S/(ω_t)_k\}$, $\{S/((ω_k)_t)_k\}$, $\{S/((ω_t)_k)_t\}$, $\cdots$, as $S$ runs over all inverse semigroups, form quasivarieties. This article explores the relationships among these quasivarieties.
