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Neutro Ordered Ring

Neutro Ordered Ring

Ahmed Hatip, Necati Olgun
Copyright: © 2022 |Pages: 15
ISBN13: 9781668434956|ISBN10: 1668434954|ISBN13 Softcover: 9781668434963|EISBN13: 9781668434970
DOI: 10.4018/978-1-6684-3495-6.ch013
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MLA

Hatip, Ahmed, and Necati Olgun. "Neutro Ordered Ring." Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras, edited by Florentin Smarandache and Madeline Al-Tahan, IGI Global, 2022, pp. 219-233. https://doi.org/10.4018/978-1-6684-3495-6.ch013

APA

Hatip, A. & Olgun, N. (2022). Neutro Ordered Ring. In F. Smarandache & M. Al-Tahan (Eds.), Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras (pp. 219-233). IGI Global. https://doi.org/10.4018/978-1-6684-3495-6.ch013

Chicago

Hatip, Ahmed, and Necati Olgun. "Neutro Ordered Ring." In Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras, edited by Florentin Smarandache and Madeline Al-Tahan, 219-233. Hershey, PA: IGI Global, 2022. https://doi.org/10.4018/978-1-6684-3495-6.ch013

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Abstract

The objective of this chapter is to introduce the concept of Neutro Ordered Rings by considering three Neutro Axioms (Neutro Abelian Group [additive], Neutro Semi group [multiplicative], and Neutro Distributive [multiplication over addition]) and total ordered relation or partially ordered relation. The concepts of Neutro Ordered Rings, Neutro Ordered Subrings, Neutro Ordered Ideals, Neutro Ordered Quotient Rings, and Neutro Ordered Ring Homomorphisms are presented. Moreover, several interesting results were reached, and a lot of illustrative examples were added.

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