Browsing Department of Mathematics (MU) by Thesis Advisor "Srinivasan, Hema, 1959"
Now showing items 16 of 6

A class of Gorenstein Artin algebras of embedding dimension four
(University of MissouriColumbia, 2007)Let R be a polynomial ring in n variables and I be a homogeneous ideal in R. Such an ideal I is called Gorenstein if the quotient R/I has a free resolution over R which is both self dual. In 2005 Iarrobino and Srinivasan ... 
Minimal homogeneous resolutions, almost complete intersections and Gorenstein Artin algebras
(University of MissouriColumbia, 2011)This work is devoted to the study of the structures of the graded resolutions of codimension three almost complete intersections and the unimodality and SIsequence of Hilbert functions of Gorenstein Artin algebras in ... 
Minimal resolutions for a class of Gorenstein determinantal ideals
(University of MissouriColumbia, 2010)Let X = {x[subscript ij]} [subscript mxn] be a matrix with entries in a noetherian commutative ring R. I[subscript t](X) denotes the determinantal ideal generated by the t x t minors of X. The ideals are called generic if ... 
On the periodicity of the first Betti number of the semigroup ring under translations
(University of MissouriColumbia, 2010)Any curve C in any dimension can be described by a parameterization. In particular in the plane, that is dimension 2, the coordinates x and y are both given as a function of a third variable t, called parameter: x=x(t), ... 
On unimodality of Hilbert functions of Artinian level algebras of codimension 3 and type 2 and 3
([University of MissouriColumbia], 2014)We prove the unimodality of the Hilbert Function for some classes of codimension three graded algebras of CohenMacaulay types 2 and 3. The method of proof uses the explicit structure theorems similar to the structure ... 
Results on the Collatz Conjecture
([University of MissouriColumbia], 2014)Given a starting value, we can create a sequence using the rule that if the previous number, x, is even, then the next number is [x/2], and if the previous number, x, is odd, then the next number is [(3x+1)/2]. The collatz ...