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Biswas, Ranjit., The existing huge volume of algebraic structures in the subject “ALGEBRA” has few serious hidden gaps and needs fixing in order to validate many of the elementary and important frequently practiced algebraic computations, Indonesian Journal of Mathematics and Analysis, 2026, Vol.1, 35–69 (Open Access) ()

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Article

‘Object Theory’: The Classical ‘Number Theory’ is a Special Case

1Department of Computer Science & Engineering,


Turkish Journal of Analysis and Number Theory. 2026, Vol. 14 No. 1, 6-22
DOI: 10.12691/tjant-14-1-2
Copyright © 2026 Science and Education Publishing

Cite this paper:
Ranjit Biswas. ‘Object Theory’: The Classical ‘Number Theory’ is a Special Case. Turkish Journal of Analysis and Number Theory. 2026; 14(1):6-22. doi: 10.12691/tjant-14-1-2.

Correspondence to: Ranjit  Biswas, Department of Computer Science & Engineering,. Email: ranjitbiswas1955@gmail.com

Abstract

In this work a new theory called by ‘Object Theory’ (or ‘Theory of Objects’) is introduced in Pure Mathematics. It is explained that the classical Number Theory is a particular instance of the ‘Object Theory’ corresponding to the region R. Although this is purely a theoretical work, but this theory is expected to cater to Mathematics and all branches of STEM including AI, Data Science, modern Statistics, Soft computing etc in a new direction.

Keywords