Length functions determined by killing powers of several ideals in a local ring

Show simple item record

dc.contributor.author Fields, J. Bruce
dc.contributor.advisor Hochester, Melvin
dc.date.accessioned 2007-11-07T19:37:15Z
dc.date.available NO_RESTRICTION en_US
dc.date.available 2007-11-07T19:37:15Z
dc.date.issued 2000
dc.date.submitted 2000
dc.identifier.uri http://hdl.handle.net/2027.42/57281
dc.description.abstract Given a local ring R and n ideals whose sum is primary to the maximal ideal of R, one may define a function which takes an n-tuple of exponents to the length of the quotient of R by sum of the ideals raised to the respective exponents. This quotient can also be obtained by taking the tensor product of the quotients of R by the various powers of the ideals. This thesis studies these functions as well as the functions obtained by replacing the tensor product by a higher Tor. These functions are shown to have rational generating functions under certain conditions. en_US
dc.format.extent 372234 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US en_US
dc.subject Commutative Algebra en_US
dc.subject Rings en_US
dc.subject Hilbert Functions en_US
dc.subject Hilbert-Kunz Functions en_US
dc.subject Intersection Multiplicities en_US
dc.subject Quasipolynomial Functions en_US
dc.subject.other Mathematics en_US
dc.title Length functions determined by killing powers of several ideals in a local ring en_US
dc.type Thesis en_US
dc.description.thesisdegreename Ph.D. en_US
dc.description.thesisdegreediscipline Mathematics en_US
dc.description.thesisdegreegrantor University of Michigan en_US
dc.contributor.committeemember Barvonik, Alexandre
dc.contributor.committeemember Miller, Claudia
dc.contributor.committeemember Sklar, Lawrence
dc.contributor.committeemember Smith, Karen
dc.subject.hlbsecondlevel Mathematics
dc.subject.hlbtoplevel Science
dc.identifier.uniqname bfields en_US
dc.description.bitstreamurl http://deepblue.lib.umich.edu/bitstream/2027.42/57281/1/fields_thesis.pdf en_US
dc.owningcollname Dissertations and Theses (Ph.D. and Master's)
 Show simple item record

This item appears in the following Collection(s)

Search Deep Blue

Advanced Search

Browse by

My Account


Coming Soon

MLibrary logo