Algebraic models for accounting systems

This book describes the construction of algebraic models which represent the operations of the double entry accounting system.

It gives a novel, comprehensive, proof based treatment of the topic, using such concepts from abstract algebra as automata, digraphs, monoids and quotient structures.Sample Chapter(s)Chapter 1: Approaches to Accounting Theory (197 KB)Contents: Approaches to Accounting TheoryTwo Balance VectorsTransactionsAbstract Accounting SystemsQuotient Systems and HomomorphismsAccounting Systems and AutomataAccounting Systems with Restricted TransactionsAlgorithmsThe Extended ModelThe Model IllustratedReadership: Academic economists, accountants, algebraists and applied mathematicians.