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, no. 3, 30

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Algebra and Discrete Mathematics, 2005, Issue 3, Pages 30–45 (Mi adm310)

This article is cited in 10 scientific papers (total 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

Full-text PDF (235 kB) Citations (10)

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.

Received: 25.03.2005
Revised: 20.10.2005

Bibliographic databases:

Document Type: Article

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

Language: English

Citation: 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, no. 3, 30–45

Citation in format AMSBIB

\Bibitem{KriCha05}

\by Kanduru~Venkata~Krishna, Niladri~Chatterjee

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

\jour Algebra Discrete Math.

\yr 2005

\issue 3

\pages 30--45

\mathnet{http://mi.mathnet.ru/adm310}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2237893}

\zmath{https://zbmath.org/?q=an:1093.16038}

Linking options:

https://www.mathnet.ru/eng/adm310

https://www.mathnet.ru/eng/adm/y2005/i3/p30

This publication is cited in the following 10 articles:

Koppula K., Kedukodi B.S., Kuncham S.P., “on Perfect Ideals of Seminearrings”, Beitr. Algebr. Geom., 62:4 (2021), 823–842
Taouti A., Khan W.A., “Fuzzy Subnear-Semirings and Fuzzy Soft Subnear-Semirings”, AIMS Math., 6:3 (2021), 2268–2286
Khan W.A., Davvaz B., “Soft Intersection Nearsemirings and Its Algebraic Applications”, Lobachevskii J. Math., 41:3 (2020), 362–372
Khan W.A., Rehman A., Taouti A., “Soft Near-Semirings”, AIMS Math., 5:6 (2020), 6464–6478
Koppula K., Srinivas K.B., Prasad K.S., “on Prime Strong Ideals of a Seminearring”, Mat. Vestn., 72:3 (2020), 243–256
Khan W.A., Taouti A., Karkain S., Salami A., Arif W., “Weakly Prime and Weakly Primary Ideals in Gamma Seminearrings”, Eur. J. Pure Appl Math., 12:2 (2019), 544–552
Khan W.A., Davvaz B., Muhammad A., “(M, N)-Soft Intersection Nearsemirings and (M, N)-Alpha-Inclusion Along With Its Algebraic Applications”, Lobachevskii J. Math., 40:1, SI (2019), 67–78
Kumar J., Krishna K.V., “Rank Properties of the Semigroup Reducts of Affine Near-Semirings Over Brandt Semigroups”, Semigr. Forum, 93:3 (2016), 516–534
Kumar J., Krishna K.V., “Syntactic Semigroup Problem For the Semigroup Reducts of Affine Near-Semirings Over Brandt Semigroups”, Asian-Eur. J. Math., 9:1 (2016), UNSP 1650021
Kumar J., Krishna K.V., “Affine Near-Semirings Over Brandt Semigroups”, Commun. Algebr., 42:12 (2014), 5152–5169

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	7
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