Simple Extensions with the Minimum Degree Relations of Integral Domains
by
Susumu Oda
Book Details
Format
Hardback or Cased Book
Book Series
Lecture Notes in Pure and Applied Mathematics
ISBN-10
1138401897
ISBN-13
9781138401891
Publisher
Taylor & Francis Ltd
Imprint
CRC Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jan 3rd, 2018
Print length
296 Pages
Weight
710 grams
Product Classification:
Algebra
Ksh 36,000.00
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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.
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 examines several properties of simple ring extensions of Noetherian integral domains.
As experts who have been studying this field for over a decade, the authors present many arguments that they have developed themselves, mainly exploring anti-integral, super-primitive, and ultra-primitive extensions. Within this framework, they study certain properties, such as flatness, integrality, and unramifiedness. Some of the topics discussed include Sharma polynomials, vanishing points, Noetherian domains, denominator ideals, unit groups, and polynomial rings.
Presenting a complete treatment of each topic, Simple Extensions with the Minimum Degree Relations of Integral Domains serves as an ideal resource for graduate students and researchers involved in the area of commutative algebra.
As experts who have been studying this field for over a decade, the authors present many arguments that they have developed themselves, mainly exploring anti-integral, super-primitive, and ultra-primitive extensions. Within this framework, they study certain properties, such as flatness, integrality, and unramifiedness. Some of the topics discussed include Sharma polynomials, vanishing points, Noetherian domains, denominator ideals, unit groups, and polynomial rings.
Presenting a complete treatment of each topic, Simple Extensions with the Minimum Degree Relations of Integral Domains serves as an ideal resource for graduate students and researchers involved in the area of commutative algebra.
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