On the Characterization of a Riemann Surface by Its Semigroup of Endomorphisms

A characterization of triple semigroup of ternary functions and Demorgan triple semigroup of ternary functions

The universal $mathcal{AIR}$- compactification of a semigroup

In this paper we establish a characterization of abelian compact Hausdorff semigroups with unique idempotent and ideal retraction property. We also introduce a function algebra on a semitopological semigroup whose associated semigroup compactification is universal withrespect to these properties.

Algebraic Structures Related to Dempster-Shafer Theory

There are described some algebraic structures on a space of belief functions on a two element frame namely so called Dempster s semigroup with Dempster s operation dempsteroids and their basic properties The present paper is devoted to the investi gation of automorphisms of Dempster s semigroup Full characterization of general and ordered automorphisms is obtained their parametric description i...

Ring endomorphisms with nil-shifting property

Cohn called a ring $R$ is reversible if whenever $ab = 0,$ then $ba = 0$ for $a,bin R.$ The reversible property is an important role in noncommutative ring theory‎. ‎Recently‎, ‎Abdul-Jabbar et al‎. ‎studied the reversible ring property on nilpotent elements‎, ‎introducing‎ the concept of commutativity of nilpotent elements at zero (simply‎, ‎a CNZ ring)‎. ‎In this paper‎, ‎we extend the CNZ pr...

Minimal E0–semigroups

It is known that every semigroup of normal completely positive maps of a von Neumann can be “dilated” in a particular way to an E0-semigroup acting on a larger von Neumann algebra. The E0-semigroup is not uniquely determined by the completely positive semigroup; however, it is unique (up to conjugacy) provided that certain conditions of minimality are met. Minimality is a subtle property, and i...