Homological algebra and module theory constitute a vibrant area of contemporary mathematics, interweaving concepts from algebra, topology and geometry. At its core, homological algebra studies ...

In this note we give the description of a morphism related with the structure of the canonocal module of the Rees algebra R (I) of an ideal I in a local ring. As an application we obtain Ikeda's ...

Roman Bezrukavnikov, Ivan Mirković, Dmitriy Rumynin, Simon Riche, Localization of Modules for a Semisimple Lie Algebra in Prime Characteristic, Annals of Mathematics, Second Series, Vol. 167, No. 3 ...

The Virasoro vertex algebra arises as the symmetry algebra of a two-dimensional conformal field theory. The Virasoro irreducible modules are well-known, and they play a prominent role in rational ...

In Module 7 (M7) Graphs, you learned that simultaneous equations, where one of the graphs is quadratic and the other is a straight line, can be solved by reading the points of intersection. For ...

Simultaneous equations, where one of the graphs is quadratic and the other is a straight line, can be solved by reading the points of intersection ...