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

• Published in: Algebra and Discrete Mathematics
• Date: 2005
• Main Authors: Krishna, K.V., Chatterjee, N.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157196
• 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.

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.