Mathematical Sciences: Structure of Rings and Modules
{'Code': '03040300', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
The aim of this research is to study Noetherian rings and                  affine algebras, with special reference to their representation                 theory. The principal investigator will study extensions of                     modules with applications to localizations of Noetherian rings.                 Attention will be focused on the graph of links of a Noetherian                 ring, and how information contained in this graph can predict the               possible extensions of a module. The ideal theory of finite ring                extensions will also be considered in the hopes of using recent                 progress in this area to obtain results on how the representation               theories of a ring and a finite extension ring are related. The                 principal investigator will also study affine algebras of                       polynomial bounded growth, with special reference to the Gelfand-               Kirillov dimension and the associated Poincare series. Throughout               there will be an emphasis on the construction and study of                      appropriate examples.                                                                A ring is an algebraic object having both an addition and a                multiplication. These objects arise naturally in many areas of                  mathematics. Given a ring, one area of importance is if a ring                  containing the original one exists having certain properties. The               question of when it is possible to localize is of this type and                 is a central topic in ring theory.
{'FirstName': 'Ronald', 'LastName': 'Irving', 'PI_MID_INIT': 'S', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Ronald S Irving', 'EmailAddress': 'rsi@uw.edu', 'NSF_ID': '000152324', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Washington', 'CityName': 'SEATTLE', 'ZipCode': '981951016', 'PhoneNumber': '2065434043', 'StreetAddress': '4333 BROOKLYN AVE NE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Washington', 'StateCode': 'WA', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'WA07', 'ORG_UEI_NUM': 'HD1WMN6945W6', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF WASHINGTON', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8803316.xml'}