Search
Now showing items 1-6 of 6
On the periodicity of the first Betti number of the semigroup ring under translations
(University of Missouri--Columbia, 2010)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] 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 ...
Minimal resolutions for a class of Gorenstein determinantal ideals
(University of Missouri--Columbia, 2010)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] 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 ...
A class of Gorenstein Artin algebras of embedding dimension four
(University of Missouri--Columbia, 2007)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] 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 Missouri--Columbia, 2011)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] This work is devoted to the study of the structures of the graded resolutions of codimension three almost complete intersections and the unimodality ...
Results on the Collatz ConjectureResults on the Collatz Conjecture
(University of Missouri--Columbia, 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 ...
On unimodality of Hilbert functions of Artinian level algebras of codimension 3 and type 2 and 3
(University of Missouri--Columbia, 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 Cohen-Macaulay types 2 and 3. The method of ...