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math.AT2009
Projective resolution of modules over the noncommutative algebra
Tomohiro Fukaya
We give an explicit algorithm to compute a projective resolution of a module over the noncommutative ring based on the noncommutative Groebner bases theory.
math.AT2007
Application of Groebner bases to the cup-length of oriented Grassmann manifolds
Tomohiro Fukaya
We determine the cup-length of some oriented Grassmann manifolds by finding a Groebner basis associated with a certain subring of the cohomology of them. As its applications, we pr…