Endomorphisms of the binomial coalgebra

determinant of the hankel matrix with binomial entries

abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.

Compact Endomorphisms of Certain Subalgebras of the Disk Algebra

Complementation of Coalgebra Automata

Coalgebra automata, introduced by the second author, generalize the well-known automata that operate on infinite words/streams, trees, graphs or transition systems. This coalgebraic perspective on automata lays foundation to a universal theory of automata operating on infinite models of computation. In this paper we prove a complementation lemma for coalgebra automata. More specifically, we pro...

Deformations of Coalgebra Morphisms

An algebraic deformation theory of coalgebra morphisms is constructed.

Kleene Coalgebra – an overview

Coalgebras provide a uniform framework for the study of dynamical systems, including several types of automata. The coalgebraic view on systems has recently been proved relevant by the development of a number of expression calculi which generalize classical results by Kleene, on regular expressions, and by Kozen, on Kleene algebra. This note contains an overview of the motivation and results of...