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Algebraic Models for Accounting Systems

Salvador Cruz Rambaud, José García Pérez, Robert A. Nehmer, and Derek J. S. Robinson
World Scientific
Publication Date: 
Number of Pages: 
[Reviewed by
Tom Schulte
, on

This book derives a basis for algebraic models to represent double entry accounting systems. The comprehensive, proof-based development motivates with clear, lucid explanation of basic accounting operations and generally from very elementary mathematical concepts. Undergraduates with a basic grasp of matrices, group theory, set theory, linear algebra and the rudiments of accounting can follow the reasoning easily. Higher expectations of the reader appear when the author uses the concepts and nomenclature of algebraic topology (homeomorphisms, etc.), abstract algebra (monoids, etc.) and automata.

It would be reasonable to take a high-level description of the completed, 10-tuple model and make it a single article for inclusion in a journal. However, the authors’ great detail of explained fundamentals, examples, and definitions makes this work not a monograph, but a roadmap to constructing an algebraic model for any similar system. Looking to, say, begin a graduate-level thesis on a formal, mathematical description of some axiomatic, procedural information system or application landscape? Well, this text could be an excellent template and starting point.

Tom Schulte now sees algebraic models in ERP subsystems as a software engineer at Plex Systems in Auburn Hills, Michigan.

  • Approaches to Accounting Theory
  • Two Balance Vectors
  • Transactions
  • Abstract Accounting Systems
  • Quotient Systems and Homomorphisms
  • Accounting Systems and Automata
  • Accounting Systems with Restricted Transactions
  • Algorithms
  • The Extended Model
  • The Model Illustrated