We introduce a novel cascade demixing structure for multichannel blind deconvolution in nonminimum phase systems. To simplify the learning process, we decompose the demixing model into a causal finite impulse response (FIR) filter and an anticausal scalar FIR filter. A permutable cascade structure is constructed by two subfilters. After discussing geometrical structure of FIR filter manifold, w...

in this paper, we consider locally graded groups in which every non-permutable subgroup is soluble of bounded derived length.

In this note we show that if two critical algebras generate the same congruence-permutable variety, then the varieties generated by their proper sections also coincide.

Let $f$ and $g$ be two quasiregular maps in $\mathbb{R}^d$ that are of transcendental type also satisfy $f\circ g =g \circ f$. We show if the fast escaping sets those functions contained their respective Julia then must have same set. obtain conclusion about commuting quasimeromorphic with infinite backward orbit infinity. Furthermore we permutable form $g=\phi\circ f$, where $\phi$ is a quasic...

The homomorphic image of a congruence is always a tolerance (relation) but, within a given variety, a tolerance is not necessarily obtained this way. By a Maltsev-like condition, we characterize varieties whose tolerances are homomorphic images of their congruences (TImC). As corollaries, we prove that the variety of semilattices, all varieties of lattices, and all varieties of unary algebras h...

In this paper we study the existence of free nonabelian subgroups in noncentral permutable general skew linear groups and locally finite group algebras.

A general theorem is proved showing how to ohtain a constant-weight binary cyclic code from a p-ary linear cyclic code, where p is a prime,. by using a representation of Cl;(p) as cyclic shifts of a binary p-tuple. Based on this theorem, constructions are given for four classes of binary constant-weight codes. The first two classes are shown to achieve the Johnson upper bound on minimum distanc...