Groebner Basis and its Applications
Yengkhom Satyendra Singh1, Benaki Lairenjam2

1Yengkhom Satyendra Singh, Department of Mathematics, School of Applied Sciences, Reva University, Bangalore, India.
2Benaki Lairenjam, Department of Mathematics, School of Applied Sciences Reva University, Bangalore, India.
Manuscript received on September 20, 2019. | Revised Manuscript received on October 15, 2019. | Manuscript published on October 30, 2019. | PP: 1092-1097 | Volume-9 Issue-1, October 2019 | Retrieval Number: A9486109119/2019©BEIESP | DOI: 10.35940/ijeat.A9486.109119
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Abstract: This paper is a survey on Groebner basis and its applications on some areas of Science and Technology. Here we have presented some of the applications of concepts and techniques from Groebner basis to broader area of science and technology such as applications in steady state detection of chemical reaction network (CRN) by determining kinematics equations in the investigation and design of robots. Groebner basis applications could be found in vast area in circuits and systems. In pure mathematics, we can encounter many problems using Groebner basis to determine that a polynomial is invertible about an ideal, to determine radical membership, zero divisors, hence so forth. A short note is being presented on Groebner basis and its applications.
Keywords: Groebner basis, Polynomials, Polynomials rings, ideals, Division algorithm, Applications of Groebner basis.