Presentation depth and the Lipman-Sathaye Jacobian theorem.

The important ideas of reduction and integral closure of an ideal in a commutative Noetherian ring A (with identity) were introduced by Northcott and Rees [4]; a brief and direct approach to their theory is given in [6, (1.1)]. We begin by briefly summarizing some of the main aspects.

Tauvel's height formula in iterated differential operator rings.

Guédénon, Thomas (2004)

Beiträge zur Algebra und Geometrie

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Stretched $𝔪$ -primary ideals.

Rossi, Maria Evelina, Valla, Giuseppe (2001)

Beiträge zur Algebra und Geometrie

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Gelfand-Kirillov dimension in some crossed products.

Guédénon, Thomas (2002)

Beiträge zur Algebra und Geometrie

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$Spec (R)$ and separation axioms between $T_{0}$ and $T_{1}$ .

Ávila G., Jesús Antonio (2005)

Divulgaciones Matemáticas

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On the computation of multiplicity by the reduction of dimension.

Bod&#039;a, E., Jašková, D. (2009)

Acta Mathematica Universitatis Comenianae. New Series

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Integer-valued polynomials on algebras: a survey

Sophie Frisch (2010)

Actes des rencontres du CIRM

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We compare several different concepts of integer-valued polynomials on algebras and collect the few results and many open questions to be found in the literature.