On certain poset and semilattice homomorphisms

A Certain Class of Character Module Homomorphisms on Normed Algebras

For two normed algebras $A$ and $B$ with the character space   $bigtriangleup(B)neq emptyset$  and a left $B-$module $X,$  a certain class of bounded linear maps from $A$ into $X$ is introduced. We set $CMH_B(A, X)$  as the set of all non-zero $B-$character module homomorphisms from $A$ into $X$. In the case where $bigtriangleup(B)=lbrace varphirbrace$ then $CMH_B(A, X)bigcup lbrace 0rbrace$ is...

Sparsely Connected Semilattice Associative Memories on Certain L-Fuzzy Sets

In mathematical morphology (MM), images are viewed as L-fuzzy sets, where the symbol L stands for a complete lattice. In particular, fuzzy MM arises by considering L = [0, 1]. Mathematical morphology provides the theoretical basis for certain lattice computing models called morphological neural networks (MNNs) including morphological associative memories (MAMs) that are the focus of this paper....

On the Logical Definability of Certain Graph and Poset Languages

We show that it is equivalent, for certain sets of finite graphs, to be definable in CMS (counting monadic second-order, a natural extension of monoadic second-order logic), and to be recognizable in an algebraic framework induced by the notion of modular decomposition of a finite graph. More precisely, we consider the set F∞ of composition operations on graphs which occur in the modular decomp...

Constructing Homomorphisms through E-unitary Inverse Semigroups via Partial Group Actions and Semilattice Actions

Homomorphisms on Groups and Induced Maps on Certain Algebras of Measuresc)

Suppose that y is a continuous homomorphism of a locally compact group G into another such group, H, then ¡p induces in a natural way a homomorphism 9>* of the measure algebra of G, called M(G), into M(H). The action of <p* on the subspace M0(G) is studied in this paper. The space M0(G) is the nonabelian analogue to the space of measures on a locally compact abelian group whose Fourier-Stieltje...