A ring-theoretic model for representing intrusion detection processes
*Jhansi Rani MettuCorresponding authorjhansirani512@gmail.comDepartment of Computer Science and EngineeringadfdgfhjLovely Professional UniversityPhagwara , Punjab, 144411, IndiaView full profile → , Dhanpratap Singhdhanpratap.25706@lpu.co.inDepartment of Computer Science and EngineeringLovely Professional UniversityPhagwara , Punjab, 144411, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Aug 2025
- Published Online:
- 29 Jul 2026
- Article type:
- Research Article
- Language:
- EN
- Pages:
- 1–12
Abstract
This article is a discussion about a ring-theoretic model, which is a math-based model illustrating the mechanism through which intrusion detection is done. Statistically or machine-learned-based detection methods do not necessarily have the structure theory to demonstrate the workings of complex cybersecurity relationships. The proposed model considers system things as the ring elements and the operations of the system such as detection, avoidance, and reaction as the ring operations. Homomorphisms render it secure that systems communicate with each other, and mathematical formulas characterize fake positives and negatives. This is a ring-theory-based approach that helps us comprehend theories more and makes strong and proven attack detection in dynamic cyber environments.
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References
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