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 ...

In this note, we shall calculate some homogeneous polynomials explicitly based on B. Runge's conjecture in [4] p. 203 and give the explicit structure of the graded ring A(Γ₂(1, 2)) of Siegel modular ...

In this paper we show that the Rees algebra can be made into a functor on modules over a ring in a way that extends its classical definition for ideals. The Rees algebra of a module M may be computed ...

Before reading this guide, it may be helpful to read the guide from Module 7 (M7) about proportion and variation. Module 7 (M7) proportion and variation is concerned with direct proportion between two ...