This book describes the construction of algebraic models which represent the operations of the double-entry accounting system. It presents a novel and comprehensive treatment of the subject and utilizes the methods and tools of abstract algebra, including automata, graph theory and monoids.

Table of Contents

Models in Accounting Theory - Introduction; Balance Vectors; Transactions; Abstract Accounting Systems; Quotient Systems and Homomorphisms; Accounting Systems as Automata; Accounting Systems with Restricted Transactions; Algorithms for Accounting Systems; Security Mechanisms and the Extended Model.