An algebra $A$ on a set $X$ is a family of subsets of this set closed under the operations of union and difference of two subsets. This book studies various algebras and families …
The theory of commutative fields is a fundamental area of mathematics, particularly in number theory, algebra, and algebraic geometry. This book provides an introduction to …
Lie groups are very general mathematical objects that appear in numerous areas such as topology, functional analysis, and algebra, as well as differential geometry and differential …
The central problem of modern Galois theory involves the inverse problem: given a field $k$ and a group $G$, construct an extension $L/k$ with Galois group $G$. This book features …
