Numbers of generators of ideals in local rings and a generalized Pascal's Triangle

Numbers of generators of ideals in local rings and a generalized Pascal's Triangle

This paper defines generalized binomial coefficients and shows that they can be used to generate generalized Pascal's Triangles and have properties analogous to binomial coefficients. It uses the generalized binomial coefficients to compute the Dilworth number and the Sperner number of certain...

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Bibliographic Details
Main Author: Riderer, Lucia
Format: Others
Published: CSUSB ScholarWorks 2005
Subjects:
Local rings
Ideals (Algebra) Generators
Pascal's triangle
Rings (Algebra)
Binomial coefficients
Mathematics
Online Access:https://scholarworks.lib.csusb.edu/etd-project/2732
https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=3749&context=etd-project
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spelling ndltd-csusb.edu-oai-scholarworks.lib.csusb.edu-etd-project-37492019-10-23T03:33:41Z Numbers of generators of ideals in local rings and a generalized Pascal's Triangle Riderer, Lucia This paper defines generalized binomial coefficients and shows that they can be used to generate generalized Pascal's Triangles and have properties analogous to binomial coefficients. It uses the generalized binomial coefficients to compute the Dilworth number and the Sperner number of certain rings. 2005-01-01T08:00:00Z text application/pdf https://scholarworks.lib.csusb.edu/etd-project/2732 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=3749&context=etd-project Theses Digitization Project CSUSB ScholarWorks Local rings Ideals (Algebra) Generators Pascal's triangle Rings (Algebra) Binomial coefficients Binomial coefficients Ideals (Algebra) Generators Local rings Pascal's triangle Rings (Algebra) Mathematics
collection NDLTD
format Others
sources NDLTD
topic Local rings
Ideals (Algebra) Generators
Pascal's triangle
Rings (Algebra)
Binomial coefficients
Binomial coefficients
Ideals (Algebra) Generators
Local rings
Pascal's triangle
Rings (Algebra)
Mathematics
spellingShingle Local rings
Ideals (Algebra) Generators
Pascal's triangle
Rings (Algebra)
Binomial coefficients
Binomial coefficients
Ideals (Algebra) Generators
Local rings
Pascal's triangle
Rings (Algebra)
Mathematics
Riderer, Lucia
Numbers of generators of ideals in local rings and a generalized Pascal's Triangle
description This paper defines generalized binomial coefficients and shows that they can be used to generate generalized Pascal's Triangles and have properties analogous to binomial coefficients. It uses the generalized binomial coefficients to compute the Dilworth number and the Sperner number of certain rings.
author Riderer, Lucia
author_facet Riderer, Lucia
author_sort Riderer, Lucia
title Numbers of generators of ideals in local rings and a generalized Pascal's Triangle
title_short Numbers of generators of ideals in local rings and a generalized Pascal's Triangle
title_full Numbers of generators of ideals in local rings and a generalized Pascal's Triangle
title_fullStr Numbers of generators of ideals in local rings and a generalized Pascal's Triangle
title_full_unstemmed Numbers of generators of ideals in local rings and a generalized Pascal's Triangle
title_sort numbers of generators of ideals in local rings and a generalized pascal's triangle
publisher CSUSB ScholarWorks
publishDate 2005
url https://scholarworks.lib.csusb.edu/etd-project/2732
https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=3749&context=etd-project
work_keys_str_mv AT ridererlucia numbersofgeneratorsofidealsinlocalringsandageneralizedpascalstriangle
_version_ 1719275391575654400

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