… of mathematical physics are homogeneous (symmetric) in some sense. Homogeneous
models can be … However, if we allow the gains k1 and k2 to be depend on ˆx1 − y as follows …

… G()'s) are a descending chain of ideals of g (resp. normal subgroups of G), and it is known (cf.
Bourbaki [1]… We therefore define a homogeneous norm on G to be a continuous function to …

… the ideals in rings which were complete intersections, for abelian varieties, or for ideals I which
are complete intersections on … a field and let / be a homogeneous ideal of R. How can we …

… Let I be a homogeneous ideal of S. Given a term order < on S we may associate to I the initial
ideal \(J={\text {in}} (I)\). It is well-known that S/J can be realized as the special fiber of a flat …

… prime ideal P of a homogeneous ideal I of R is homogeneous. … A homogeneous ideal of R
is called a maximal homogeneous ideal if it is maximal among proper homogeneous ideals of …

… First we review the fundamental cycle on a resolution and the computation sequence. Let f :
… a homogeneous ideal is homogeneous, we may assume that g is a homogeneous element …

… such that the ideal of functions \(I_X\) vanishing on X admits a … )\) is already formally weighted
homogeneous with respect to a … a weighted homogeneous generator of the (formal) ideal of …

… The study on the regularity of powers of homogeneous ideals began with a celebrated result…
ideals for t ≥ 3 . In this note, we will specifically concentrate on the powers of path ideals of …

… ’s seminal ideas on noncommutative measurable structures … equivalent more generally for
all homogeneous C∗-algebras… ∗(S) contains the ideal K of compact operators on H, and C∗(…

… be acted as an ideal candidate. Unfortunately, the elimination efficiency of MB by O 2 is
ultralow, and thus O 2 is not conductive to MB-based homogeneous electrochemical biosensors. …