On the Topological Semigroup of Equational Classes of Finite Functions Under Composition

نویسندگان

  • Jorge Almeida
  • Miguel Couceiro
  • Tamás Waldhauser
چکیده

We consider the set of equational classes of finite functions endowed with the operation of class composition. Thus defined, this set gains a semigroup structure. This paper is a contribution to the understanding of this semigroup. We present several interesting properties of this semigroup. In particular, we show that it constitutes a topological semigroup that is profinite and we provide a description of its regular elements in the Boolean case.

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عنوان ژورنال:
  • Multiple-Valued Logic and Soft Computing

دوره 28  شماره 

صفحات  -

تاریخ انتشار 2017