Topologically defined classes of going-down domains
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- by Ira J. Papick PDF
- Trans. Amer. Math. Soc. 219 (1976), 1-37 Request permission
Abstract:
Let R be an integral domain. Our purpose is to study GD (going-down) domains which arise topologically; that is, we investigate how certain going-down assumptions on R and its overrings relate to the topological space ${\text {Spec}}(R)$. Many classes of GD domains are introduced topologically, and a systematic study of their behavior under homomorphic images, localization and globalization, integral change of rings, and the â$D + M$ constructionâ is undertaken. Also studied, is the algebraic and topological relationships between these newly defined classes of GD domains.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 219 (1976), 1-37
- MSC: Primary 13G05
- DOI: https://doi.org/10.1090/S0002-9947-1976-0401745-0
- MathSciNet review: 0401745