The research on this grant concerns the global structure theory for arbitrary infinite semigroups. Applications will be given to formal languages, infinite group theory and decision problems. The mathematical development will consist of the following: general machinery, the kernel of a morphism between semigroups, expansions, the prime decomposition theorem for arbitrary semigroups and applications. This research is in the area of semigroups, one of the simplest of the abstract mathematical structures, consisting of a set with one associative operation on it. The structure of these very general objects will be investigated. Applications will be given to various areas of mathematics and computer science.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
8803362
Program Officer
Ann K. Boyle
Project Start
Project End
Budget Start
1988-06-15
Budget End
1990-11-30
Support Year
Fiscal Year
1988
Total Cost
$72,400
Indirect Cost
Name
University of California Berkeley
Department
Type
DUNS #
City
Berkeley
State
CA
Country
United States
Zip Code
94704