Simple Extensions With the Minimum Degree Relations of Integral Domain

List of contents

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.

About the author

Susumu Oda, Ken-ichi Yoshida

Summary

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.

Product details

• Authors: Susumu Oda, Susumu (Kochi University Oda, Susumu Yoshida Oda, Oda Susumu, Ken-ichi Yoshida, Yoshida Ken-ichi
• Assisted by: Zuhair Nashed (Editor of the series), Earl Taft (Editor of the series)
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 31.12.2018
• EAN: 9781138401891
• ISBN: 978-1-138-40189-1
• No. of pages: 296
• Series: Lecture Notes in Pure and Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, MATHEMATICS / Algebra / General