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Simple Extensions with the Minimum Degree Relations of Integral Domains (eBook, PDF) - Oda, Susumu; Yoshida, Ken-Ichi
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Covering an understudied aspect of commutative algebra, this book 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. The book mainly explores anti-integral, super-primitive, and ultra-primitive extensions, and studies certain properties such as flatness, integrality, and unramifiedness. As experts who have been studying this field for over a decade, the authors present many arguments that they have developed themselves. Topics discussed include Sharma…mehr

Produktbeschreibung
Covering an understudied aspect of commutative algebra, this book 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. The book mainly explores anti-integral, super-primitive, and ultra-primitive extensions, and studies certain properties such as flatness, integrality, and unramifiedness. As experts who have been studying this field for over a decade, the authors present many arguments that they have developed themselves. Topics discussed include Sharma polynomials, vanishing points, Noetherian domains, denominator ideals, unit groups, and polynomial rings.

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