RESULTS ON BETTI SERIES OF THE UNIVERSAL MODULES OF SECOND ORDER DERIVATIONS

Ali ERDOĞAN

Article Details

RESULTS ON BETTI SERIES OF THE UNIVERSAL MODULES OF SECOND ORDER DERIVATIONS

Authors:

Ali ERDOĞAN

Publisher:

Hacettepe University

Main Topics:

Analysis

Journal:

Hacettepe Journal of Mathematics and Statistics 2011 Vol.40 Issue 3, pp.449-452

Document Type:

Article

Publication Date:

2/2011

Document Language:

English

Document ID (Org No.):

2000453637

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

Abstract:

 

Let R be the coordinate ring of an affine irreducible curve presented byk[x,y](f)and m a maximal ideal of R. Assume that Rm, the localizationof R at m, is not a regular ring. Let Ω2(Rm) be the universal moduleof second order derivations of Rm. We show that, under certain conditions, B(Ω2(Rm), t), the Betti series of Ω2(Rm), is a rational function.To conclude, we give examples related to B(Ω2(Rm), t) for various ringsR.

Article Details

RESULTS ON BETTI SERIES OF THE UNIVERSAL MODULES OF SECOND ORDER DERIVATIONS

Authors: Ali ERDOĞAN

Publisher: Hacettepe University

Main Topics: Analysis

Journal: Hacettepe Journal of Mathematics and Statistics 2011 Vol.40 Issue 3, pp.449-452

Document Type: Article

Publication Date: 2/2011

Document Language: English

Document ID (Org No.): 2000453637

Frequency: Bimonthly

eISSN: 2651-477X

pISSN: 2651-477X

Issues

Authors:

Ali ERDOĞAN

Publisher:

Hacettepe University

Main Topics:

Analysis

Journal:

Hacettepe Journal of Mathematics and Statistics 2011 Vol.40 Issue 3, pp.449-452

Document Type:

Article

Publication Date:

2/2011

Document Language:

English

Document ID (Org No.):

2000453637

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X