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Open AccessArticle

Semi-Idempotents in Neutrosophic Rings

School of Computer Science and Engineering, VIT, Vellore 632014, India
Department of Mathematics, University of New Mexico, 705 Gurley Avenue, Gallup, NM 87301, USA
Author to whom correspondence should be addressed.
Mathematics 2019, 7(6), 507;
Received: 13 April 2019 / Revised: 25 May 2019 / Accepted: 27 May 2019 / Published: 3 June 2019
(This article belongs to the Special Issue New Challenges in Neutrosophic Theory and Applications)
In complex rings or complex fields, the notion of imaginary element i with i 2 = 1 or the complex number i is included, while, in the neutrosophic rings, the indeterminate element I where I 2 = I is included. The neutrosophic ring R I is also a ring generated by R and I under the operations of R. In this paper we obtain a characterization theorem for a semi-idempotent to be in Z p I , the neutrosophic ring of modulo integers, where p a prime. Here, we discuss only about neutrosophic semi-idempotents in these neutrosophic rings. Several interesting properties about them are also derived and some open problems are suggested. View Full-Text
Keywords: semi-idempotent; neutrosophic rings; modulo neutrosophic rings; neutrosophic semi-idempotent semi-idempotent; neutrosophic rings; modulo neutrosophic rings; neutrosophic semi-idempotent
MDPI and ACS Style

Kandasamy W.B., V.; Kandasamy, I.; Smarandache, F. Semi-Idempotents in Neutrosophic Rings. Mathematics 2019, 7, 507.

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