Results of fuzzy prime near-rings with fuzzy involutions
Résumé
The main objective of this paper is to introduce the concept of fuzzy involution on fuzzy nearrings, and we prove that a fuzzy near-ring satisfying certain identities involving fuzzy involution must be a fuzzy ring or a commutative fuzzy ring. Also, an example proving the existence of this type of mapping is given.
Téléchargements
Références
H. Aktas and N. Çagman, A type of fuzzy ring, Arch. Math. Logic 46, 165-177, (2007).
A. Boua and A. Raji, Several algebraic inequalities on a 3-prime near-ring, JP J. Algebra Number Theory Appl. 39 (1), 105–113, (2017).
L. Oukhtite and A. Raji, On two-sided α-n-derivation in 3-prime near-rings, Acta Math. Hungar. 157 (2), 465-477, (2019).
N. Olgun, Direct Product of Fuzzy Groups and Fuzzy Rings, International Mathematical Forum 6(1), 1005-1015, (2011).
M. Ou-mha, A. Raji and M. Oukessou, A study of the fuzzy multiplicative center in a special class of fuzzy near rings, Bol. Soc. Paran. Mat. 43, 1-9, (2025).
M. Ou-mha, A. Raji, M. Oukessou and A. Boua, A study of fuzzy prime near-rings involving fuzzy semigroup ideals, Wseas Transactions on Mathematics 23, 392-399, (2024).
M. A. Öztürk, Y. B. Jun and H. Yazarh, A new view of fuzzy gamma rings, Hacet. J. Math. Stat. 39 (3), 365-378, (2010).
A. Raji, On multiplicative derivations in 3-prime near-rings, Beitr. Algebra Geom. 65 (2), 343-357, (2024).
A. Raji, M. Oukessou and A. Belharrate, Semigroup ideals with multiplicative semiderivations and commutativity of 3-prime near-rings, Note Mat. 42 (2), 43-52, (2022).
A. Raji, M. Oukessou and A. Belharrate, Jordan ideals with multiplicative derivations in 3-prime near-rings, Adv. Math. Models Appl. 7 (2), 214-222, (2022).
A. Raji, Some commutativity criteria for 3-prime near-rings, Algebra Discrete Math. 32 (2), 280-298, (2021).
E. Ranjbar-Yanehsari and M. Asghari-Larimi, A New View of Fuzzy Vector Space Over Fuzzy Field, Jordan J. Math. Stat. 11 (3), 193-210, (2018).
E. Yetkin and N. Olgun, A New Type Fuzzy Module over Fuzzy Rings, The Scientific World Journal, Volume 2014, Article ID 730932, 7 pages.
X. Yuan, The Category FGrp of Fuzzy Groups Is Not Equivalent to the Category Grp of Classical Groups, Computers and Mathematics with Apphcations 49, 1953-1956, (2005).
X. Yuan and E. S. Lee, Fuzzy group based on fuzzy binary operation, Comput. Math. App. 47, 631-641, (2004).
Copyright (c) 2025 Boletim da Sociedade Paranaense de Matemática

Ce travail est disponible sous la licence Creative Commons Attribution 4.0 International .
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).



