Semi-Idempotents in Neutrosophic Rings

Download or read book Semi-Idempotents in Neutrosophic Rings written by Vasantha Kandasamy W.B. and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: In complex rings or complex fields, the notion of imaginary element i with i2 = -1 or the complex number i is included, while, in the neutrosophic rings, the indeterminate element I where I2 = I is included. The neutrosophic ring hR [ Ii 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 hZp [ Ii, 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.