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 ...

This module is unique in that it eschews the tactic-oriented style of traditional Coq developments. As pointed out by others, programs written in that style are brittle, hard to read, and generally ...

It’s created a canonical Lie algebra in electrodynamics with all the “nice” algebraic and geometrical properties of an universal enveloping algebra with the goal of can to obtain generalizations in ...

Weak Hopf algebras were introduced by G. Böhm and K. Szlachányi as a generalization of usual Hopf algebras and groupoid algebras [1] [2] . A weak Hopf algebra is a vector space that has both algebra ...

A line drawing of the Internet Archive headquarters building façade. An illustration of a magnifying glass. An illustration of a magnifying glass.

Algebra and calculus are essential branches of mathematics and for most students are the main areas of maths they have seen at high school. Algebra involves manipulating expressions and solving ...

Linear algebra is one of the most powerful branches of mathematics – and one of the most useful. It is at the heart of modern science, technology, and engineering. It is the foundation for everything ...

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 ...

Save guides, add subjects and pick up where you left off with your BBC account. Before reading this guide, it may be helpful to read the guide from Module 7 (M7) about proportion and variation. Module ...