The normal subsemigroups of the monoid of injective maps

作者：Droste Manfred^*; Goebel Ruediger

来源：Semigroup Forum, 2013, 87(2): 298-312.

DOI：10.1007/s00233-013-9478-7

• Injective maps
• Normal subsemigroup
• Symmetric group
• Conjugacy classes

We consider the monoid of injective self-maps of a set M and want to determine its normal subsemigroups by numerical invariants. This was established by Mesyan (in Isr. J. Math. 189:287-305, 2012) if M is countable. Here we obtain an explicit description of all normal subsemigroups of for any uncountable set M.

• 出版日期2013-10