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Open AccessArticle

Semi-Idempotents in Neutrosophic Rings

1
School of Computer Science and Engineering, VIT, Vellore 632014, India
2
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; https://doi.org/10.3390/math7060507
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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