Ring theory is formalized in PVS using the Isomorphism, Principal, Prime and Maximal Ideals Theorems.

  • Unique Paper ID: 173709
  • PageNo: 1145-1155
  • Abstract:
  • Key findings from ring theory are developed PVS in this paper. The PVS theory provides characterizations of the main, prime, and maximal ideals and full proofs of the three classical isomorphism theorems for rings. It is possible to apply algebraic concepts and qualities to other algebraic structures since they are expressed and defined in the widest possible sense. The components required to codify significant algebraic theorems are included in the development.

Copyright & License

Copyright © 2026 Authors retain the copyright of this article. This article 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.

BibTeX

@article{173709,
        author = {S V R Sekhar Reddy},
        title = {Ring theory is formalized in PVS using the Isomorphism, Principal, Prime and Maximal Ideals Theorems.},
        journal = {International Journal of Innovative Research in Technology},
        year = {2025},
        volume = {11},
        number = {10},
        pages = {1145-1155},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=173709},
        abstract = {Key findings from ring theory are developed PVS in this paper. The PVS theory provides characterizations of the main, prime, and maximal ideals and full proofs of the three classical isomorphism theorems for rings. It is possible to apply algebraic concepts and qualities to other algebraic structures since they are expressed and defined in the widest possible sense. The components required to codify significant algebraic theorems are included in the development.},
        keywords = {Isomorphism theorems, Maximal ideals, Algebra and Prime ideals.},
        month = {March},
        }

Cite This Article

Reddy, S. V. R. S. (2025). Ring theory is formalized in PVS using the Isomorphism, Principal, Prime and Maximal Ideals Theorems.. International Journal of Innovative Research in Technology (IJIRT), 11(10), 1145–1155.

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