Automorphisms of a finitary factor power of an infinite symmetric group

• Дата: 2010
• Автори: Hudzenko, S. V., Гудзенко, С. В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2010
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2931
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider a semigroup $FP^{+}_{\text{fin}}(\mathfrak{S}_{\text{fin}}(\mathbb{N}))$ defined as a finitary factor power of a finitary symmetric group of countable order. It is proved that all automorphisms of $FP^{+}_{\text{fin}}(\mathfrak{S}_{\text{fin}}(\mathbb{N}))$ are induced by permutations fr...