Although there are many types of ring extensions, simple extensions have yet to be thoroughly explored in one book. Covering an understudied aspect of commutative algebra, Simple Extensions with the Minimum Degree Relations of Integral Domains presents a comprehensive treatment of various simple extensions and their properties. In particular, it ex

chapter 1|22 pages

Birational Simple Extensions

chapter 2|26 pages

Simple Extensions of High Degree

chapter 3|48 pages

Subrings of Anti-Integral Extensions

chapter 4|14 pages

Denominator Ideals and Excellent Elements

chapter 5|14 pages

Unramified Extensions

chapter 6|10 pages

The Unit-Groups of Extensions

chapter 7|32 pages

Exclusive Extensions of Noetherian Domains

chapter 9|32 pages

Flatness and Contractions of Ideals