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 chain ...

Let p be a prime number and let GLn be the group of all invertible matrices over the prime field Fp. It is known that every irreducible GLn- module can occur as a submodule of P, the polynomial ...

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 ...

Before reading this guide, you may find it helpful to read the guide on graphs from Module 7 (M7) and the guide on indices from Module 8 (M8). In Module 7 (M7) Graphs, you learned that simultaneous ...