Simple Extensions with the Minimum Degree Relations of Integral Domains

ISBN-13: 9781138401891 / Angielski / Twarda / 2018

Susumu Oda

Opis

Presents a comprehensive treatment of various simple extensions and their properties. This title examines several properties of simple ring extensions of Noetherian integral domains. It mainly explores anti-integral, super-primitive, and ultra-primitive extensions, and studies certain properties such as flatness, integrality, and unramifiedness.

Spis treści

Birational Simple Extensions. Simple Extensions of High Degree. Subrings of Anti-Integral Extensions. Denominator Ideals and Excellent Elements. Unramified Extensions. The Unit Groups of Extensions. Exclusive Extensions of Noetherian Domains. Ultra-Primitive Extensions and Their Generators. Flatness and Contractions of Ideals. Anti-Integral Ideals and Super Primitive Polynomials. Semi Anti-Integral and Pseudo-Simple Extensions. References. Index.

O autorze

Susumu Oda, Ken-ichi Yoshida