An extension of the parity concept
DOI:
https://doi.org/10.62110/sciencein.jist.2025.v13.1175Keywords:
Parity category, even object, Parity, group representation, integers, MathematicsAbstract
In this paper, we construct a new concept that generalizes the parity defined in the integers and functions, through an involutive function that permutates the elements of a given module, assigning parities depending on their symmetric behavior. It is shown that parity is an algebraic invariant and also its relation with certain concepts of representation theory of groups.
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Published
2025-09-05
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Mathematical Sciences
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Copyright (c) 2025 Alberto Enrique Castrillo Callejas, Yina Ospino Buelvas
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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How to Cite
Castrillo Callejas, A. E., & Ospino Buelvas, Y. (2025). An extension of the parity concept. Journal of Integrated Science and Technology, 13(8), 1175. https://doi.org/10.62110/sciencein.jist.2025.v13.1175
