Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Ore extensions over 2-primal Noetherian rings.
Authors: V. K. Bhat
– 0.14 Mb
Abstract
Let R be a ring and σ an automorphism of R. We prove that if R is a 2-primal Noetherian ring, then the skew polynomial ring R[x; σ] is 2-primal Noetherian. Let now δ be a σ-derivation of R. We say that R is a δ-ring if aδ(a)∈P(R) implies a∈P(R), where P(R) denotes the prime radical of R. We prove that R[x;σ,δ] is a 2-primal Noetherian ring if R is a Noetherian Q-algebra, σ and δ are such that R is a δ-ring, σ(δ(a))=δ(σ(a)), for all a∈R and σ(p)=P, P being any minimal prime ideal of R. We use this to prove that if R is a Noetherian σ(*)-ring (i.e. aσ(a)∈P(R) implies a∈P(R), δ a σ-derivation of R such that R is a δ-ring and σ(δ(a))=δ(σ(a)), for all a∈R, then R[x;σ,δ] is a 2-primal Noetherian ring.E-mail:
Fulltext
– 0.14 Mb
Contents
- Properties of one-sided ideals of pseudonormed rings when taking the quotient rings.
- Exact solutions for a rotational flow of generalized second grade fluids through a circular cylinder.
- Mathematical models in regression credibility theory.
- Ore extensions over 2-primal Noetherian rings.
- The G(2,ℜ) -orbits of the homogeneous polynomial differential systems.
- Hopf bifurcations analysis of a three-dimensional nonlinear system.
- A numerical approximation of the free-surface heavy inviscid flow past a body.
- The sets of the classes ~Mp, k and their subsets.
- Queuing system evolution in phase merging scheme.
- About Division of d-Convex Simple Graphs in M-Prime Graphs.
- Continuity of the norm of a composition operator between weighted Banach spaces of holomorphic functions.
- Four-dimensional Ricci-flat space defined by the KP-equation.
- Differentially prime, quasi-prime and Δ-modules.
- Classification of GL(2,ℜ)-orbit's dimensions for the differential system with cubic nonlinearities.
- Professor Dmitrii Lozovanu - 60th anniversary.
