对合半群的HS-稳定性与复积
HS-stability and complex products in involution semigroups
摘要：
什么时候一个群的给定数量的子集的复积生成与它们的并集相同的子群？通过引入HS-稳定性和刻画由给定对合半群的子集生成的HS-稳定对合子半群，我们以更一般的形式回答了这个问题。研究了正则${}^{*}$ -半群和交换对合半群的HS-稳定性。
英文摘要：
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.
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