A Classical Group of Neutrosophic Triplet Groups Using {Z(2p), x}

作者：Kandasamy Vasantha W B; Kandasamy Ilanthenral^*; Smarandache Florentin

来源：Symmetry-Basel, 2018, 10(6): 194.

DOI：10.3390/sym10060194

• neutrosophic triplet groups
• semigroup
• semi-neutrosophic triplets
• classical group of neutrosophic triplets
• S-semigroup of neutrosophic triplets
• pseudo primitive elements

In this paper we study the neutrosophic triplet groups for a is an element of Z(2p) and prove this collection of triplets (a, neut (a), anti (a)) if trivial forms a semigroup under product, and semi-neutrosophic triplets are included in that collection. Otherwise, they form a group under product, and it is of order (p = 1), with (p + 1, p + 1, p + 1) as the multiplicative identity. The new notion of pseudo primitive element is introduced in Z(2p) analogous to primitive elements in Z(p), where p is a prime. Open problems based on the pseudo primitive elements are proposed. Here, we restrict our study to Z(2p) and take only the usual product modulo 2p.

• 出版日期2018-6