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)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] 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 ... 
Minimal homogeneous resolutions, almost complete intersections and Gorenstein Artin algebras
(University of MissouriColumbia, 2011)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] This work is devoted to the study of the structures of the graded resolutions of codimension three almost complete intersections and the unimodality ... 
Minimal resolutions for a class of Gorenstein determinantal ideals
(University of MissouriColumbia, 2010)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] 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 ... 
On the periodicity of the first Betti number of the semigroup ring under translations
(University of MissouriColumbia, 2010)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] 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 ... 
On unimodality of Hilbert functions of Artinian level algebras of codimension 3 and type 2 and 3
([University of MissouriColumbia], 2014)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] 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 ... 
Results on the Collatz Conjecture
([University of MissouriColumbia], 2014)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] 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 ...