Category theory, K theory and homological algebra are interrelated branches of mathematics that comprise a powerful conceptual framework for studying structures and their interconnections. Category ...

Hom-algebra theory extends classical associative, Lie and Poisson frameworks by twisting defining identities through linear self-maps. Originating from q-deformations and discretisations, Hom-algebras ...

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To begin to understand what mathematicians and physicists see in the abstract structures of symmetries, let’s start with a familiar shape. We are fond of saying things are symmetric, but what does ...

An AI model by OpenAI has solved the 80-year-old planar unit distance problem, showcasing its potential to revolutionize research across mathematics and other scientific fields.