Work place: Department of Mathematics, GVP College of Engineering(A), Visakhapatnam, AP, India
E-mail: rvgravikumar@yahoo.com
Website:
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Biography
R. V. G. Ravi Kumar is an Associate Professor in the Department of Mathematics at GVP College of Engineering (Autonomous), Visakhapatnam, India, with extensive experience in teaching and research in algebra and differential equations. He completed his undergraduate studies with first-class distinction and was awarded a gold medal in M.Sc. Mathematics. He obtained his Ph.D. from Andhra University, Visakhapatnam, in 2005. His doctoral thesis, entitled “Centre of a C-Algebra”, was carried out under the supervision of Prof. G. C. Rao. He has also qualified the National Eligibility Test (NET). His research interests include nonlinear and fractional differential equations, graph differential equations, and algebraic structures, with a focus on qualitative analysis of nonlinear systems. He has actively contributed to academic development through teaching, research guidance, and mentoring of postgraduate and doctoral students.
By P. Mangamma R. V. G. Ravi Kumar
DOI: https://doi.org/10.5815/ijmsc.2026.02.06, Pub. Date: 8 Jun. 2026
We study the prime spectrum of idealistic S-algebras, defined via an algebraic structure with a complete lattice of ideals and a suitable notion of prime ideals. The spectrum is equipped with a natural topology and is shown to form a spectral space, possessing key properties such as compactness, separation, and sobriety. We further establish that the spectrum construction is functorial and provides a correspondence between minimal prime ideals and irreducible components under appropriate conditions. Examples are included to illustrate the role of the underlying structure, showing that the existence of minimal primes depends critically on the ideal-theoretic properties.
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