EuDML | Browse

Page 1

Displaying 1 – 7 of 7

Clôture intégrale des idéaux et équisingularité

Monique Lejeune-Jalabert, Bernard Teissier (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

This text has two parts. The first one is the essentially unmodified text of our 1973-74 seminar on integral dependence in complex analytic geometry at the Ecole Polytechnique with J-J. Risler’s appendix on the Łojasiewicz exponents in the real-analytic framework. The second part is a short survey of more recent results directly related to the content of the seminar.The first part begins with the definition and elementary properties of the $\bar{ν}$ order function associated to an ideal $I$ of a reduced analytic...

Coassociated primes of modules over a commutative ring.

Siamak Yassemi (1997)

Mathematica Scandinavica

Cohen-Macaulay and Gorenstein property of rees algebras of non-singular equimultiple prime ideals.

Ngo Viet Trung, Duong Quoc Viet (1992)

Manuscripta mathematica

Cohen-Macaulay Rees algebras and degrees of polynomial relations.

A. Simis, B. Ulrich, W.V. Vasconcelos (1995)

Mathematische Annalen

Cohen-Macauly Graphs.

Rafael H. Villarreal (1990)

Manuscripta mathematica

Contractions of the actions of reductive algebraic groups in arbitrary characteristic.

Frank D. Grosshans (1992)

Inventiones mathematicae

C(X) vs. C(X) modulo its socle

F. Azarpanah, O. A. S. Karamzadeh, S. Rahmati (2008)

Colloquium Mathematicae

Let $C_{F} (X)$ be the socle of C(X). It is shown that each prime ideal in $C (X) / C_{F} (X)$ is essential. For each h ∈ C(X), we prove that every prime ideal (resp. z-ideal) of C(X)/(h) is essential if and only if the set Z(h) of zeros of h contains no isolated points (resp. int Z(h) = ∅). It is proved that $d i m (C (X) / C_{F} (X)) \geq d i m C (X)$ , where dim C(X) denotes the Goldie dimension of C(X), and the inequality may be strict. We also give an algebraic characterization of compact spaces with at most a countable number of nonisolated points. For each essential...