Homomorphisms having a given H-class as a single class

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...

On a Class of Threshold Transformations Having Single-cycle Attractors

The first step is to construct a class of skew-circular one-to-one threshold transformations of the Boolean n-space having single cycles of length 2n by means of [ ]representations. Then 2n-dimensional threshold transformations having single 2n-cycle attractors are constructed through expansion and neighborhood functions. The construction of ndimensional transformations having single 2n-cycle a...

Every class of $S$-acts having a flatness property is closed under directed colimits

Let $S$ be a monoid. In this paper, we prove every class of $S$-acts having a flatness property is closed underdirected colimits, it extends some known results. Furthermore thisresult implies that every $S$-act has a flatness cover if and only if it has a flatness precover.

Homomorphisms from Mapping Class Groups

This paper concerns rigidity of the mapping class groups. We show that any homomorphism φ : Modg → Modh between mapping class groups of closed orientable surfaces with distinct genera g > h is trivial if g ≥ 3 and has finite image for all g ≥ 1. Some implications are drawn for more general homomorphs of these groups.

A New Class of Banach Sequence Spaces