Pudji Astuti

Brief paper: A class of marked invariant subspaces with an application to algebraic Riccati equations

Invariant subspaces of a matrix A are considered which are obtained by truncation of a Jordan basis of a generalized eigenspace of A. We characterize those subspaces which are independent of the choice of the Jordan basis. An application to Hamilton matrices and algebraic Riccati equations is given.

Stacked submodules of torsion modules over discrete valuation domains

A submodule W of a torsion module M over a discrete valuation domain is called stacked in M if there exists a basis B of M such that multiples of elements of B form a basis of W . We characterize those submodules which are stacked in a pure submodule of M . Mathematical Subject Classifications (2000): 13C12, 20K10, 20K25

A characterization of S-prime submodules of a free module over a principal ideal domain

In 2010 N. V. Sanh introduced the notion of S-prime submodules of a given right R−module and described their properties as generalization of prime ideals in an assosiative ring. Let M be a right R−module, S be the ring of endomorphisms of M and X be a fully invariant proper submodule of M. The submodule X is called an S-prime submodule of M if for any ideal I of S and any fully invariant submodule U of M, I(U)⊂X implies U⊂X or I(M)⊂X. In this paper we will characterize S-prime submodules of a free module over a principal ideal domain.

Homomorphisms of modules associated with polynomial matrices with infinite elementary divisors

If the inverse of a nonsingular polynomial matrix

Characteristic and hyperinvariant subspaces over the field GF(2)

L

HYPERINVARIANT, CHARACTERISTIC AND MARKED SUBSPACES

has a polynomial part then one can associate with

Regular submodules of torsion modules over a discrete valuation domain

L

Linear transformations with characteristic subspaces that are not hyperinvariant

a module over the ring of proper rational functions, which is related to the structure of

On Eigenvalues and Eigenvectors of Perturbed Pairwise Comparison Matrices

L

Characteristic invariant subspaces generated by a single vector

at infinity. In this paper we characterize homomorphisms of such modules.