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We investigate the properties of (directed) zero-divisor graphs of matrix rings. Then we use these results to discuss the relation between the diameter of the zero-divisor graph of a commutative ring R and that of the matrix ring M n R.
This paper discribes an implementation of the VPN (Virtual Private Network) over the Internet for a large-scale customer as a service provider managed service. Furnishing a global corporation with turnkey solution for it's inter and intrabusiness communication needs delivered security, quality and cost efficiencies. The accompanied highly reliable… (More)
We discuss the determination of the radius of the total graph of a commutative ring R in the case when this graph is connected. Typical extensions such as polynomial rings, formal power series, idealization of the R-module M and relations between the total graph of the ring R and its extensions are also dealt with.
This paper explores an Internet-based VPN solution, built upon IPSec, which combines tunneling with PKI authentication and encryption. To protect the valuable company resources, an efficient intrusion/misuse detection and response system was incorporated into deployed security solution. This approach enabled a large-scale customer provide their global… (More)
Vladimir V. Vukadinović Internet is a transport infrastructure intended for applications with various service requirements. However, Internet remains to be a best-effort network without widely deployed mechanisms for service differentiation and quality of service (QoS) provisioning. Research efforts to provide service differentiation in the Internet have… (More)
The kinetic theory of non-relativistic positrons in an idealized positron emission tomography PET environment is developed by solving the Boltzmann equation, allowing for coherent and incoherent elastic, inelastic, ionizing and annihilating collisions through positronium formation. An analytic expression is obtained for the positronium formation rate, as a… (More)
We have developed an efficient algorithm for steady axisymmetrical 2D fluid equations. The algorithm employs multigrid method as well as standard implicit discretization schemes for systems of partial differential equations. Linearity of the multigrid method with respect to the number of grid points allowed us to use 256 × 256 grid, where we could achieve… (More)
– T/2 soft DFE is based on idea of transforming a classical DFE to a cascade of uncoupled linear devices. The crucial component of this cascade is a white filter, which supplies the linear T/2 FSE with uncorrelated samples. The adaptive whiting of input sequence is controlled by a stochastic gradient algorithm based on Joint Entropy Maximization (JEM-W)… (More)
We present in this short paper relations between vector spaces of matrices which satisfy some rank conditions, problem of the existence of nonsingular bilinear maps and the problem of the existence of immersions and embeddings of real projective spaces into Euclidean spaces.