Mathematical Sciences: Applications of Infinite Power SeriesType Skew Fields
{'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 will examine the so called Freiheitssatz for                  noncommutative associative algebras, which states that for any                  non trivial relation there exists a nontrivial algebra with                     generators satisfying this relation. The principal investigator                 will also investigate the structure of skew fields which are                    infinite dimensional over their centers concentrating primarily                 on the search of free subobjects in such skew fields.                                A ring is an algebraic object having defined on it both an                 addition and a multiplication. These objects occur frequently                   in many branches of mathematics. They are also of interest in                   physics and computer science. This project will examine several                 constructions in order to answer some fundamental questions                     concerning the existence of rings with certain properties.
{'FirstName': 'Leonid', 'LastName': 'Makar-Limanov', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Leonid Makar-Limanov', 'EmailAddress': 'lml@math.wayne.edu', 'NSF_ID': '000318395', 'StartDate': '05/15/1989', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Wayne State University', 'CityName': 'DETROIT', 'ZipCode': '482023692', 'PhoneNumber': '3135772424', 'StreetAddress': '5700 CASS AVE STE 4900', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Michigan', 'StateCode': 'MI', 'CONGRESSDISTRICT': '13', 'CONGRESS_DISTRICT_ORG': 'MI13', 'ORG_UEI_NUM': 'M6K6NTJ2MNE5', 'ORG_LGL_BUS_NAME': 'WAYNE STATE UNIVERSITY', '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': '8821404.xml'}