Mathematical Sciences: Representation Theory of Algebras
{'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 research is concerned with the representation theory                  of algebras.  The principal investigator will examine the                       homological properties of the class of Artin algebras by                        examining the relationship between certain exact sequences and                  the homomorphisms of one module into another. In addition, the                  structure of projective resolutions of modules over Artinian                    rings will be studied. It has been shown that a resolution for                  an arbitrary finitely generated simple module over an Artin                     algebra, finite dimensional over an algegraically closed field,                 can be obtained algorithmically. This approach will be extended                 to more general situations.
{'FirstName': 'Edward', 'LastName': 'Green', 'PI_MID_INIT': 'L', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Edward L Green', 'EmailAddress': 'green@math.vt.edu', 'NSF_ID': '000148517', 'StartDate': '07/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Virginia Polytechnic Institute and State University', 'CityName': 'BLACKSBURG', 'ZipCode': '240603359', 'PhoneNumber': '5402315281', 'StreetAddress': '300 TURNER ST NW', 'StreetAddress2': 'STE 4200', 'CountryName': 'United States', 'StateName': 'Virginia', 'StateCode': 'VA', 'CONGRESSDISTRICT': '09', 'CONGRESS_DISTRICT_ORG': 'VA09', 'ORG_UEI_NUM': 'QDE5UHE5XD16', 'ORG_LGL_BUS_NAME': 'VIRGINIA POLYTECHNIC INSTITUTE & STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': 'M515A1DKXAN8'}
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[{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}, {'Code': '1271', 'Text': 'COMPUTATIONAL MATHEMATICS'}]
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