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The syntactic near-ring of a linear sequential machine

Published online by Cambridge University Press:  20 January 2009

Michael Holcombe
Michael Holcombe
Affiliation:
Department of Pure Mathematics, Queen's University, Belfast BT7 Inn
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Let R be a ring, a linear sequential machine over R is a quintuple ℳ = (Q, A, B, F, G) where

Q, A, B are R-modules

F:Q × A →Q and G:Q × A→B are R-homomorphisms.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 26 , Issue 1 , February 1983 , pp. 15 - 24
Copyright
Copyright © Edinburgh Mathematical Society 1983

References

REFERENCES

1.Eilenberg, S., Automata, Languages and Machines, Vol. A (Academic Press, New York, 1974).Google Scholar
2.Pilz, G., Near-Rings (North-Holland, Amsterdam, 1977).Google Scholar