Mathematical Sciences: Von Neumann Regular Rings,           Differential Operator Rings, and Noetherian Rings
{'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}
This project is concerned with various aspects of                          noncommutative ring theory. The principal investigator will                     examine the structure of von Neumann regular rings, differential                operator rings, noetherian rings and related rings. The research                on von Neumann regular rings will also involve, via the                         Grothendieck group, investigations into the structure of certain                partially ordered abelian groups.                                                    This project is in the general area of ring theory. A ring                 is an algebraic structure which is realized in a variety of                     settings in algebra and mathematics. The specific research                      involves the structure and theory of von Neumann regular rings                  and rings of differential operators. The latter type of ring is                 of interest to other areas of mathematics and physics.
{'FirstName': 'Kenneth', 'LastName': 'Goodearl', 'PI_MID_INIT': 'R', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Kenneth R Goodearl', 'EmailAddress': 'goodearl@math.ucsb.edu', 'NSF_ID': '000116131', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Utah', 'CityName': 'SALT LAKE CITY', 'ZipCode': '841129049', 'PhoneNumber': '8015816903', 'StreetAddress': '201 PRESIDENTS CIR', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Utah', 'StateCode': 'UT', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_ORG': 'UT01', 'ORG_UEI_NUM': 'LL8GLEVH6MG3', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF UTAH', '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': '8801247.xml'}