Group Theory and Ring Theory form two enduring pillars of modern algebra, each offering profound insights into symmetry, structure, and operations. Group Theory focuses on the study of sets ...

Algebra and Number Theory are cornerstones of modern mathematics. At their heart, these fields study the underlying structures governing numbers and abstract entities, ranging from rings, fields ...

India’s National Quantum Mission leverages nuclear legacy to lead in quantum computing, communication, sensing, and deep-tech ...

This book presents recent and ongoing research work aimed at understanding the mysterious relation between the computations of Feynman integrals in perturbative quantum field theory and the theory of ...

Julian McMahon, ‘Fantastic Four,' ‘Nip/Tuck' and ‘FBI: Most Wanted' Star, Dies at 56 James Carville makes midterms prediction after Trump bill passes ...

A new study does the difficult task of trying to piece together the history of the world’s largest subduction zone.

This paper presents a novel theoretical approach to the analysis of a ring resonator consisting of an edge-fed circular microstrip of arbitrary width on a substrate over a ground plane; the analysis ...

Included are treatments of topics such as models of time as algebra via semigroup theory; evolution-complexity relations applicable to both ontogeny and evolution; an approach to classification of ...

Algebra, Geometry and K-theory has one repository available. Follow their code on GitHub.

I'm studying abstract algebra using "A First Course in Abstract Algebra" by Hiram Paley and Paul M. Weichsel. I'm trying to extract group theory and ring theory, as the language is very important ...

High-performance integer factorization suite implementing GNFS, MPQS, and QS algorithms with optimized lattice reduction, vectorization, GPU acceleration, and tensor-based linear algebra. Features ...