Supervised Study: Required Independent Research at a Community College Supports Persistence in Science. [PDF]
Allison AB +5 more
europepmc +1 more source
Artin-Rees property and Artin-Rees rings
We study the problem asking which ideals in Noetherian rings have the Artin-Rees property, and want to obtain new ideals with this property from those for which we know that satisfy it.
Širola, Boris, Boris Širola
core
A study on the preparation conditions of lidocaine microemulsion based on multi-objective genetic algorithm. [PDF]
Qiao Y +12 more
europepmc +1 more source
Rees algebras of complete bipartite graphs.
To every graph one can associate an ideal \(I\) generated by the products of the pairs of variables of the edges. This paper studies the Rees algebra \(R(I)\) of the edge ideal of complete bipartite graphs. It gives a Gröbner basis for the defining ideal and then uses it to compute the Hilbert series of \(R(I)\).
openaire +2 more sources
Association between somatosensory sensitivity and regional gray matter volume in healthy young volunteers: a voxel-based morphometry study. [PDF]
Onishi H +8 more
europepmc +1 more source
Grothendieck–Serre formula and bigraded Cohen–Macaulay Rees algebras
The Grothendieck–Serre formula for the difference between the Hilbert function and Hilbert polynomial of a graded algebra is generalized for bigraded standard algebras.
JAYANTHAN, AV +3 more
core +1 more source
A closed form for Jacobian reconstruction from time series and its application as an early warning signal in network dynamics. [PDF]
Barter E +3 more
europepmc +1 more source
On the Rees algebra and the conductor of an ideal
For an ideal $I$ in a Noetherian ring $R$, we introduce and study its conductor as a tool to explore the Rees algebra of $I$. The conductor of $I$ is an ideal $C(I)\subset R$ obtained from the defining ideals of the Rees algebra and the symmetric algebra
Herzog, Jürgen +3 more
core
Equations of multi-Rees Algebras
In this thesis we describe the defining equations of certain multi-Rees algebras. First, we determine the defining equations of the multi-Rees algebra $R[I^{a_1}t_1,\dots,I^{a_r}t_r]$ over a Noetherian ring $R$ when $I$ is an ideal of linear type.
Jabbar Nezhad, Babak
core
Ordinary varieties with trivial canonical bundle are not uniruled. [PDF]
Patakfalvi Z, Zdanowicz M.
europepmc +1 more source

