Journal of the Ramanujan Mathematical Society

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Relation Between Covering and Endomorphism Semigroups of Linear Automata


Affiliations
1 Department of Mathematics, Texas A&M University, College Station, Texas 77843, United States
2 Department of Mathematics, Anna University, Madras, India
     

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Let a finite state automaton M1 cover another finite state automaton M2 with a linear covering map η. If M1 and M2 are strongly connected then End M2 is a homomorphic image of End M1. When M1 and M2 are not strongly connected, additional conditions on the covering map are needed to ensure that End M2 is a homomorphic image of End M1
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  • Relation Between Covering and Endomorphism Semigroups of Linear Automata

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Authors

C. J. Maxson
Department of Mathematics, Texas A&M University, College Station, Texas 77843, United States
S. Meenakshi
Department of Mathematics, Anna University, Madras, India
Ponnammal Natarajan
Department of Mathematics, Anna University, Madras, India

Abstract


Let a finite state automaton M1 cover another finite state automaton M2 with a linear covering map η. If M1 and M2 are strongly connected then End M2 is a homomorphic image of End M1. When M1 and M2 are not strongly connected, additional conditions on the covering map are needed to ensure that End M2 is a homomorphic image of End M1