On -flat modules and -von Neumann regular rings.
On -submodules and -submodules
We investigate some properties of -submodules. More precisely, we find a necessary and sufficient condition for every proper submodule of a module to be an -submodule. Also, we show that if is a finitely generated -module and is a prime ideal of , then has -submodule. Moreover, we define the notion of -submodule, which is a generalization of the notion of -submodule. We find some characterizations of -submodules and we examine the way the aforementioned notions are related to each...
On n-derivations and Relations between Elements rⁿ-r for Some n
We find complete sets of generating relations between the elements [r] = rⁿ - r for and for n = 3. One of these relations is the n-derivation property [rs] = rⁿ[s] + s[r], r,s ∈ R.
On Newton's polygons, Gröbner bases and series expansions of perturbed polynomial programs
In this note we consider a perturbed mathematical programming problem where both the objective and the constraint functions are polynomial in all underlying decision variables and in the perturbation parameter ε. Recently, the theory of Gröbner bases was used to show that solutions of the system of first order optimality conditions can be represented as Puiseux series in ε in a neighbourhood of ε = 0. In this paper we show that the determination of the branching order and the order of the pole (if...
On Noether's bound for polynomial invariants of a finite group.
On normal representations of G-actions on projective varieties.
On -ideals of groups of divisibility
On orthogonal decomposition of homogeneous polynomials
On p-Adic Power Series.
On polynomial mappings into spheres
On Polynomials and Exponential Polynomials in Several Complex Variables.
On polynomials whose fibres are irreducible with no critical points.
On prime divisors of the integral closure of a principal ideal.
On Prime Ideals in Representation Rings.
On prime modules over pullback rings
First, we give a complete description of the indecomposable prime modules over a Dedekind domain. Second, if is the pullback, in the sense of [9], of two local Dedekind domains then we classify indecomposable prime -modules and establish a connection between the prime modules and the pure-injective modules (also representable modules) over such rings.
On prime submodules and primary decomposition
We characterize prime submodules of for a principal ideal domain and investigate the primary decomposition of any submodule into primary submodules of
On Products in a Family of Cohomology Theories Associated to the Invariant Prime Ideals of ... (BP).
On products of additive functions.
On Projective Modules.
On Projective Resolutions of Frobenius Algebras and Gorenstein Rings.