Bounding The Hochschild Cohomological Dimension
The aim of this master’s thesis is two-fold. Firstly to develop and interpret the low dimensional Hochschild cohomology of a k-algebra and secondly to establish a lower bound for the Hochschild cohomological dimension of a k-algebra; showing that nearly no commutative k-algebra is quasi-free.
Relative Homological Algebra Dimension Theory Noncommutative Geometry Hochschild Cohomology Noncommutative Algebra Algebraic Geometry Homological Algebra Noncommutative Differential Forms