A necessary condition to test the minimality of generalized linear sequential machines using the theory of near-semirings

In this work first we study the properties of nearsemirings to introduce an α-radical. Then we observe the role of near-semirings in generalized linear sequential machines, and we test the minimality through the radical.

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Bibliographic Details
Date:2005
Main Authors: Krishna, K.V., Chatterjee, N.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2005
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/157196
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:A necessary condition to test the minimality of generalized linear sequential machines using the theory of near-semirings / K.V. Krishna, N. Chatterjee // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 3. — С. 30–45. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:In this work first we study the properties of nearsemirings to introduce an α-radical. Then we observe the role of near-semirings in generalized linear sequential machines, and we test the minimality through the radical.