This paper deals with the subject of singularities of a germ of an analytic space given by the
gluing of germs of complex analytic spaces and some invariants such as degree of a finite …

For a standard graded Cohen-Macaulay ring R, if the quotient R/(x) admits non-free totally
reflexive modules, where x is a system of parameters consisting of elements of degree one …

The purpose of this thesis is to introduce and illustrate some of the deep connections
between commutative and homological algebra. We shall cover some of the fundamental …