On Neutrosophic Quadruple Groups

  • Smarandache, F.
  • Rezaei, A.
  • Agboola, A. A. A.
  • Jun, Y. B.
  • Borzooei, R. A.
  • 외 5명
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초록

As generalizations and alternatives of classical algebraic structures there have been introduced in 2019 the NeutroAlgebraic structures (or NeutroAlgebras) and AntiAlgebraic structures (or AntiAlgebras). Unlike the classical algebraic structures, where all operations are well defined and all axioms are totally true, in NeutroAlgebras and AntiAlgebras, the operations may be partially well defined and the axioms partially true or, respectively, totally outer-defined and the axioms totally false. These NeutroAlgebras and AntiAlgebras form a new field of research, which is inspired from our real world. In this paper, we study neutrosophic quadruple algebraic structures and NeutroQuadrupleAlgebraicStructures. NeutroQuadrupleGroup is studied in particular and several examples are provided. It is shown that (NQ(Z), divided by) is a NeutroQuadrupleGroup. Substructures of NeutroQuadrupleGroups are also presented with examples.

키워드

Neutrosophic quadruple numberNeutroAlgebraNeutroQuadrupleGroupNeutroQuadrupleSubgroup
제목
On Neutrosophic Quadruple Groups
저자
Smarandache, F.Rezaei, A.Agboola, A. A. A.Jun, Y. B.Borzooei, R. A.Davvaz, B.Saeid, Arsham BorumandAkram, M.Hamidi, M.Mirvakili, S.
DOI
10.1007/s44196-021-00042-9
발행일
2021-11
유형
Article
저널명
International Journal of Computational Intelligence Systems
14
1