Mathematics and Statistics Faculty and Staff Publications

Document Type

Book

Publication Date

2015

Abstract

Study of MOD planes happens to a very recent one. Authors have studied several properties of MOD real planes Rn(m); 2 ≤ m ≤ ∞. In fact unlike the real plane R × R which is unique MOD real planes are infinite in number. Likewise MOD complex planes Cn(m); 2 ≤ m ≤ ∞, are infinitely many. The MOD neutrosophic planes RnI(m); 2 ≤ m ≤ ∞ are infinite in number where as we have only one neutrosophic plane R(I) = 〈R ∪ I〉 = {a + bI | I2 = I; a, b ∈ R}. Further three other new types of MOD planes constructed using dual numbers, special dual number like numbers and special quasi dual numbers are introduced. Rng(m) ={a + bg | g2 = 0, a, b ∈ [0, m)} is the MOD dual number plane.

Publisher

EuropaNova, Brussels

ISSN

978-1-59973-367-8

Language (ISO)

English

Keywords

ALGEBRAIC STRUCTURES, mod subsets, mod planes

Creative Commons License

Creative Commons Attribution-Share Alike 4.0 License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 License.

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