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Mathematics 2018, 6(9), 152;

Accounting Games: Using Matrix Algebra in Creating the Accounting Models

Accounting and Finance Department, Southern Federal University, M. Gorkogo, 88 of 112, 344000 Rostov-on-Don, Russia
Received: 23 July 2018 / Revised: 13 August 2018 / Accepted: 14 August 2018 / Published: 31 August 2018
(This article belongs to the Special Issue Mathematical Game Theory)
Full-Text   |   PDF [462 KB, uploaded 4 September 2018]


The aim of this paper is to show the mathematical basis for a precise treatment of double-entry bookkeeping, which was first developed in the nineteenth century by Sir William Rowan Hamilton. This is done by using basic notions of matrix algebra founded on the idea of ordered pairs. We also reveal how complex numbers and rationals (fractions) developed in mainstream accounting science and became a leading platform for the ongoing processes within Industry 4.0. The paper concludes with examples of how accounting operations can be represented by matrix equations with the result of generating a final report. The author presents a mathematical model of accounting which is independent of specific existential forms, but which is capable of undertaking the form of any of them and thus which has the potential of being understood and accepted by specialists globally. View Full-Text
Keywords: matrix algebra; accounting; Industry 4.0 matrix algebra; accounting; Industry 4.0
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Vysotskaya, A. Accounting Games: Using Matrix Algebra in Creating the Accounting Models. Mathematics 2018, 6, 152.

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