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A necessary condition to test the minimality of generalized linear sequential machines using the theory of near-semirings
Algebra and discrete mathematics, no. 3 (2005), pp. 30-45

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In this work first we study the properties of near-semirings to introduce an $\alpha$-radical. Then we observe the role of near-semirings in generalized linear sequential machines, and we test the minimality through the radical.
Keywords: near-semiring, radical, linear sequential machine. 
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Kanduru Venkata Krishna; Niladri Chatterjee. A necessary condition to test the minimality of generalized linear sequential machines using the theory of near-semirings. Algebra and discrete mathematics, no. 3 (2005), pp. 30-45. http://geodesic.mathdoc.fr/item/ADM_2005_3_a2/