Fermeture intégrale et changement de base
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Fiber products and Morita duality for commutative rings
Alberto Facchini (1982)
Rendiconti del Seminario Matematico della Università di Padova
Fields with Hanselian Valuation Rings.
O. Endler, A.J. Engler (1976/1977)
Mathematische Zeitschrift
Finite dimensional rings of quotients.
H. Leroy Hutson (1993)
Publicacions Matemàtiques
In this paper we characterize commutative rings with finite dimensional classical ring of quotients. To illustrate the diversity of behavior of these rings we examine the case of local rings and FPF rings. Our results extend earlier work on rings with zero-dimensional rings of quotients.
Finitely generated Ext algebras.
Gerson Levin (1981)
Mathematica Scandinavica
Flatness testing over singular bases
Janusz Adamus, Hadi Seyedinejad (2013)
Annales Polonici Mathematici
We show that non-flatness of a morphism φ:X→ Y of complex-analytic spaces with a locally irreducible target of dimension n manifests in the existence of vertical components in the n-fold fibred power of the pull-back of φ to the desingularization of Y. An algebraic analogue follows: Let R be a locally (analytically) irreducible finite type ℂ-algebra and an integral domain of Krull dimension n, and let S be a regular n-dimensional algebra of finite type over R (but not necessarily a finite R-module),...
Fonctions -lipschitziennes sur un anneau local et polynômes à valeurs entières
Daniel Barsky (1973)
Bulletin de la Société Mathématique de France
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