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JOURNALS // Algebra and Discrete Mathematics // Archive

Algebra Discrete Math., 2010 Volume 10, Issue 1, Pages 97–103 (Mi adm42)

RESEARCH ARTICLE

Groups of linear automata

Andriy Oliynyk

Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, Volodymyrska, 60, Kyiv 01033

Abstract: The scalar automata as a special class of groups of linear automata over modules are introduced. The groups of scalar automata are classified.

Keywords: linear automaton, automaton group, wreath product.

MSC: 20E08

Received: 31.10.2010
Revised: 31.10.2010

Language: English



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