Additive Gs-Automata and Syntactic Nearrings

Yuen Fong (), Feng-Kuo Huang () and Chiou-Shieng Wang ()
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Yuen Fong: National Cheng-Kung University, Department of Mathematics
Feng-Kuo Huang: National Taitung University, Department of Mathematics
Chiou-Shieng Wang: Kao Yuan Institute of Technology, Department of Business Administration

A chapter in Nearrings and Nearfields, 2005, pp 201-216 from Springer

Abstract: Abstract The purpose of this paper is to study those related algebraic structures of additive GS-automata and their associated syntactic nearrings in which the set of states are abelian groups. The properties of reachability and connectivity in GS-automata are studied. The endomorphism semigroups of additive GS-automata are investigated. Every ring can be embedded into the endomorphism ring of an additive GS-automaton. 2000 Mathematics Subject Classification: 68Q70; 16Y30.

Keywords: additive GS-automaton; syntactic nearing (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-3391-9_9

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DOI: 10.1007/1-4020-3391-5_9

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