Radical theory for group semiautomata

Fong Yuen and Huang Feng-Kuo and Wiegandt Richard: Radical theory for group semiautomata. In: Acta cybernetica, (11) 3. pp. 169-188. (1994)

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A Kurosh-Amitsur radical theory is developed for group semiautomata. Radical theory stems from ring theory, it is apt for deriving structure theorems and for a comparative study of properties. Unlikely to conventional radical theories, the radical of a group semiautomaton need not be a subsemiautomaton, so the whole scene will take place in a suitably constructed category. The fundamental facts of the theory are described in § 2. A special feature of the theory, the existence of complementary radicals, is discussed in § 3. Restricting the theory to additive automata, which still comprise linear sequential machines, in § 4 stronger results will be achieved, and also a (sub)direct decomposition theorem for certain semisimple group semiautomata will be proved. Examples are given at appropriate places. The paper may serve also as a framework for future structural investigations of group semiautomata.

Item Type: Article
Journal or Publication Title: Acta cybernetica
Date: 1994
Volume: 11
Number: 3
ISSN: 0324-721X
Page Range: pp. 169-188
Language: English
Place of Publication: Szeged
Related URLs: http://acta.bibl.u-szeged.hu/38497/
Uncontrolled Keywords: Számítástechnika, Kibernetika
Additional Information: Bibliogr.: 188. p. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.02. Computer and information sciences
Date Deposited: 2016. Oct. 15. 12:26
Last Modified: 2022. Jun. 13. 11:30
URI: http://acta.bibl.u-szeged.hu/id/eprint/12527

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