On classifications of transformation semigroups: Indicator sequences and indicator topological spaces | Zendy

Zadeh Shirazi | Zendy; Nasser Golestani | Zendy

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On classifications of transformation semigroups: Indicator sequences and indicator topological spaces

Author(s) -

Zadeh Shirazi,

Nasser Golestani

Publication year - 2012

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1202313s

Subject(s) - mathematics , transformation (genetics) , semigroup , sequence (biology) , topological space , space (punctuation) , topology (electrical circuits) , pure mathematics , combinatorics , computer science , biochemistry , chemistry , genetics , biology , gene , operating system

In this paper considering a transformation semigroup with finite height we define the notion of indicator sequence in such a way that any two transformation semigroups with the same indicator sequence have the same height. Also related to any transformation semigroup a topological space, called indicator topological space, is defined in such a way that transformation semigroups with homeomorphic indicator topological spaces have the same height. Moreover any two transformation semigroups with homeomorphic indicator topological spaces and finite height have the same indicator sequences.

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