Mathematical Sciences: Connections Between the Theories of  Locales and Ideals
{'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 investigate the relationship between the                 theory of locales and the theory of ideals.  The principal                      investigators will examine the interplay of ring theory and                     topology as it relates to spatiality of sublocales and prime                    decompositions; closure and coclosure operators on closed posets;               localization; and the development of the theory of modules over a               closed poset.                                                                        The proposed research is in the area of general algebra.  It               concerns a study of partially ordered algebraic structures with                 the hope of clarifying algebraic and lattice theoretic aspects of               ring theory and topos theory.
[{'FirstName': 'Susan', 'LastName': 'Niefield', 'PI_MID_INIT': 'B', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Susan B Niefield', 'EmailAddress': None, 'NSF_ID': '000202909', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'Kimmo', 'LastName': 'Rosenthal', 'PI_MID_INIT': 'I', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Kimmo I Rosenthal', 'EmailAddress': None, 'NSF_ID': '000173081', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}]
{'Name': 'Union College', 'CityName': 'SCHENECTADY', 'ZipCode': '123083256', 'PhoneNumber': '5183886101', 'StreetAddress': '807 UNION ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY', 'CONGRESSDISTRICT': '20', 'CONGRESS_DISTRICT_ORG': 'NY20', 'ORG_UEI_NUM': 'HE9HQBNZHHB5', 'ORG_LGL_BUS_NAME': 'TRUSTEES OF UNION COLLEGE IN THE TOWN OF SCHENECTADY IN THE STATE OF NEW YORK', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126400', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8701717.xml'}