A Study of NeutroAlgebra and AntiAlgebra of Ideals in a Factor Ring

Authors

  • A.A.A. Agboola Department of Mathematics, Federal University of Agriculture, PMB 2240, Abeokuta, Nigeria;
  • M.A. Ibrahim Department of Mathematics, Auburn University, Auburn, AL 36849, USA;

Keywords:

ClassicalAlgebra; PartialAlgebra; NeutroAlgebra; AntiAlgebra; NeutrosubAlgebra; sum of ideals, product of ideals; intersection of ideals.

Abstract

If I is an ideal in a ring R and M is the collection of all nontrivial ideals in the factor ring
R/I, we find in this paper conditions under which (M, ⊕), (M, ⊗) and (M, ∩) are NeutroAlgebras and
AntiAlgebras where ⊕, ⊗ and ∩ are the usual sum, product and intersection of ideals in R/I

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Published

2023-05-01

Issue

Vol. 55 (2023): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

A.A.A. Agboola, & M.A. Ibrahim. (2023). A Study of NeutroAlgebra and AntiAlgebra of Ideals in a Factor Ring. Neutrosophic Sets and Systems, 55, 576-589. http://fs.unm.edu/nss8/index.php/111/article/view/3211