P. Mangamma

Work place: Department of Mathematics, JNTU Kakinada, India

E-mail: manu.p1612@gmail.com

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Biography

P. Mangamma is currently serving as a Lecturer in Mathematics at Government Degree College for Women, Visakhapatnam, India. She obtained her M.Sc. in Mathematics (Gold Medalist) and holds a B.Ed. degree. She has also qualified the State Eligibility Test (SET). With over two decades of teaching experience, she has been actively engaged in academic service since 2004. Her research interests include algebraic structures, Lie algebras, and their applications in mathematical sciences. She has published several research articles in national and international journals, with contributions focusing on quadratic core regular double Stone algebras and automorphism-invariant structures in Lie algebras. Ms. Mangamma has received several recognitions, including a Gold Medal in M.Sc. Mathematics and the District-Level NSS Best Programme Officer Award. She actively contributes as a resource person and regularly participates in academic programs, workshops, and institutional activities.

Author Articles
The Spectral Topology of Idealistic S-Algebras: Functoriality, Minimal Primes, and Irreducible Components

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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