In this paper we endow V with a poset metric such that the P-weight is constant on the non-
null vectors of a component Vi, extending both the poset metric introduced by Brualdi et al …

In this paper we employ the theory of partially ordered sets to model and analyze a class of
decentralized control problems. We show that posets provide a natural way of modeling …

Let $ M_n $ be the algebra of $ n\times n $ complex matrices and $\mathcal {T} _n\subseteq
M_n $ the corresponding upper-triangular subalgebra. In their influential work, Petek and\v …

We consider subalgebras A of the algebra M n of n× n complex matrices that contain all
diagonal matrices, known in the literature as the structural matrix algebras (SMAs). Let A⊆ …

The topic considered in this paper falls under the general heading of automorphisms of
structural matrix algebras. Herein we wish to give an answer to an open question given in …

Let be a commutative ring with identity and let be quasi-order relation on. Then will denote
the structural matrix algebra over. In this study, we show that, Theorem 4.1 of Benkovič …

In this thesis we consider the problem of decentralized control of linear systems. We employ
the theory of partially ordered sets (posets) to model and analyze a class of decentralized …

In a previous paper, these authors showed that posets provide a useful modeling framework
for a reasonably large class of decentralized control problems. In this paper we show more …

We provide a unified approach, via deformations of incidence algebras, to several important
types of representations with finiteness conditions, as well as the combinatorial algebras …

To what extent is the isomorphism type of an incidence algebra determined by the zero–
nonzero pattern of a matrix representation? We settle the question in a natural framework …