On L^M -valued automata: an operator oriented view

Journal of Applied Mathematics and Computing（2019）

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摘要

This paper is towards the algebraic and topological study of L^M -valued automata via different operators and the interrelationship among these operators. Interestingly, we show that the algebraic concepts associated with L^M -valued automaton can be expressed in terms of L -valued topologies/co-topologies.

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关键词

-valued automaton, -valued source operator, -valued successor operator, -valued core operator, ML-graded topology, homomorphism, 06D72, 08A72, 54A40

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