论文标题
HS稳定性和复杂产品中的相关产品
HS-stability and complex products in involution semigroups
论文作者
论文摘要
一个给定数量的组的复杂产物何时产生与它们的联合相同的子组？我们通过引入HS稳定性和表征由给定参与度半群的子集生成的HS稳定性群的子群来以更通用的形式回答这个问题。我们研究了常规$ {}^{*} $的特殊情况的HS稳定性 - 半群和交换性差异半群。
When does the complex product of a given number of subsets of a group generate the same subgroup as their union? We answer this question in a more general form by introducing HS-stability and characterising the HS-stable involution subsemigroup generated by a subset of a given involution semigroup. We study HS-stability for the special cases of regular ${}^{*}$-semigroups and commutative involution semigroups.
