On uniform bounds of primeness in matrix rings

Primeness in Near-rings of Continuous Functions

Various types of primeness have been considered for near-rings. One of these is the concept of equiprime, which was defined in 1990 by Booth, Groenewald and Veldsman. We will investigate when the near-ring N0(G) of continuous zeropreserving self maps of a topological group G is equiprime. This is the case when G is either T0 and 0-dimensional or T0 and arcwise connected. We also give conditions...

Primeness in Near - rings of Continuous Functions 2

This paper is a continuation of work done by the present author together with P. R. Hall [1]. We characterise the prime and equiprime radicals of N0(G) for certain topological groups G. Various results are obtained concerning primeness and strongly primeness for the sandwich near-ring N0(G,X, θ). MSC 2000: 16Y30, 22A05

Differential Polynomial Rings of Triangular Matrix Rings

Uniform Primeness of the Jordan Algebra of Symmetric Operators

We prove something.

Uniform Bounds on Multigraded Regularity

We give an effective uniform bound on the multigraded regularity of a subscheme of a smooth projective toric variety X with a given multigraded Hilbert polynomial. To establish this bound, we introduce a new combinatorial tool, called a Stanley filtration, for studying monomial ideals in the homogeneous coordinate ring of X . As a special case, we obtain a new proof of Gotzmann’s regularity the...