Finite homogeneous effect algebras with trivial sharp elements

TL;DR

This paper characterizes finite homogeneous effect algebras that have only trivial sharp elements, specifically 0 and 1, providing a classification of such algebraic structures.

Contribution

It offers a complete description of finite homogeneous effect algebras with trivial sharp elements, a specific class not extensively studied before.

Findings

Characterization of finite homogeneous effect algebras with only 0 and 1 as sharp elements

Identification of structural properties unique to these effect algebras

Contribution to the classification theory of effect algebras

Abstract

In this paper we describe finite homogeneous effect algebras whose sharp elements are only $0$ and $1$.