Homological algebra studies algebraic structures by probing them with chain complexes and derived functors, revealing hidden layers of relationships among objects such as modules over rings.

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 ...

The general goal of the project is to study the homological algebra of stable infinity-categories and Poincaré infinity-categories. This is done through the theory of non-commutative motives and ...

International academic programme on Homological Methods in Noncommutative Algebra begins at SASTRA, fostering global collaboration in mathematics.