Add to ORKGNew results are given on the pole-shifting problem for commutative rings, and these are then applied to conclude that rings of continuous, smooth, or real-analytic functions on a manifold X are PA rings if and only if X is one-dimensional. 1
The notions of constant, discrete-time, and linear dynamical systems over a commutative ring and the...
What follows is the author’s recollection of the early development of rings of continuous functions ...
In [1], Birkhoff and Pierce introduced the concept of f-ring. In (7], [9], and [10] it was shown tha...
New results are given on the pole-shifting problem for commutative rings, and these are then applied...
AbstractNew results are given on the pole-shifting problem for commutative rings, and these are then...
AbstractThis paper deals with the pole-shifting problem for non-necessarily reachable linear systems...
AbstractGiven a square n-matrix F and an n-row matrix G, pole-shifting problems consist in obtaining...
A very simple proof of the pole assignment theorem for systems over a principal ideal domain (and ot...
We study the relations between algebraic properties of certain rings of functions and topological pr...
AbstractWe establish sufficient conditions for assignability of reachable linear systems over commut...
Let R be any of the following rings: the smooth functions on R^2n with the Poisson bracket, the Hami...
Given that the ℓ-rings RL of real-valued continuous functions on completely regular frames L are mon...
It is shown that a ring homomorphism on H(G), the algebra of analytic functions on a regular region ...
A commutative ring with identity is called a full quotient ring if every element of R is either a un...
AbstractGiven a pair of matrices (A,B)∈Rn×n×Rn×m with coefficients in a commutative ring we study th...
The notions of constant, discrete-time, and linear dynamical systems over a commutative ring and the...
What follows is the author’s recollection of the early development of rings of continuous functions ...
In [1], Birkhoff and Pierce introduced the concept of f-ring. In (7], [9], and [10] it was shown tha...
New results are given on the pole-shifting problem for commutative rings, and these are then applied...
AbstractNew results are given on the pole-shifting problem for commutative rings, and these are then...
AbstractThis paper deals with the pole-shifting problem for non-necessarily reachable linear systems...
AbstractGiven a square n-matrix F and an n-row matrix G, pole-shifting problems consist in obtaining...
A very simple proof of the pole assignment theorem for systems over a principal ideal domain (and ot...
We study the relations between algebraic properties of certain rings of functions and topological pr...
AbstractWe establish sufficient conditions for assignability of reachable linear systems over commut...
Let R be any of the following rings: the smooth functions on R^2n with the Poisson bracket, the Hami...
Given that the ℓ-rings RL of real-valued continuous functions on completely regular frames L are mon...
It is shown that a ring homomorphism on H(G), the algebra of analytic functions on a regular region ...
A commutative ring with identity is called a full quotient ring if every element of R is either a un...
AbstractGiven a pair of matrices (A,B)∈Rn×n×Rn×m with coefficients in a commutative ring we study th...
The notions of constant, discrete-time, and linear dynamical systems over a commutative ring and the...
What follows is the author’s recollection of the early development of rings of continuous functions ...
In [1], Birkhoff and Pierce introduced the concept of f-ring. In (7], [9], and [10] it was shown tha...