Universal regular and completely regular frames

Ompactification of Completely Regular Frames based on their Cozero Part

 Let L  be a frame. We denoted the set of all regular ideals of cozL by rId(cozL) . The aim of this paper is to study these ideals. For a  frame L , we show that  rId(cozL) is a compact completely regular frame and the map jc : rId(cozL)→L  given by jc (I)=⋁I   is a compactification of L which is isomorphism to its  Stone–Čech compactification and is proved that jc have a right adjoint rc : L →...

Arithmetic completely regular codes

In this paper, we explore completely regular codes in the Hamming graphs and related graphs. Experimental evidence suggests that many completely regular codes have the property that the eigenvalues of the code are in arithmetic progression. In order to better understand these “arithmetic completely regular codes”, we focus on cartesian products of completely regular codes and products of their ...

Completely Regular Stationary Processes

We are going to give necessary and suucient conditions for a multivariate stationary stochastic process to be completely regular. We also give the answer to a question of V.V. Peller concerning the spectral measure characterization of such processes .

Completely Regular Mappings and Dimension

Families of nested completely regular codes and distance-regular graphs

In this paper infinite families of linear binary nested completely regular codes are constructed. They have covering radius ρ equal to 3 or 4, and are 1/2-th parts, for i ∈ {1, . . . , u} of binary (respectively, extended binary) Hamming codes of length n = 2 − 1 (respectively, 2), where m = 2u. In the usual way, i.e., as coset graphs, infinite families of embedded distance-regular coset graphs...