Kanduru Venkata Krishna, Niladri Chatterjee, “A necessary condition to test the minimality of generalized linear sequential machines using the theory of near-semirings”, Algebra Discrete Math., 2005, Issue 3,Pages <nobr>30

This article is cited in 10 papers

RESEARCH ARTICLE

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

Kanduru Venkata Krishna, Niladri Chatterjee

Department of Mathematics, Indian Institute of Technology Delhi Hauz Khas, New Delhi – 110 016, India

Abstract: 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.

MSC: 16Y99, 68Q70, 20M11, 20M35

Received: 25.03.2005
Revised: 20.10.2005

Language: English