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 Algebra, factorising is the opposite of expanding. Module 1 (M1) - Algebra - Terminology Algebra is the part of mathematics in which letters and other symbols are used to represent numbers in ...

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 you start, it may be helpful to read the guides on coordinates and graphs from Module 2 (M2) and Module 3 (M3). When two lines are perpendicular, the product of their gradients is 1. Lines A ...

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 ...

ORLANDO, Fla. — More than 80 Algebra 1 Florida Virtual School (FLVS) students in sixth-11th grades completed the first-ever “AI in Math” enrichment program, developed in partnership with the ...