On Neutro Quadruple Groups

Florentin Smarandache · Akbar Rezaei · Adesina Abdul Akeem Agboola · Young Bae Jun · Rajab Ali Borzooei · Bijan Davvaz · Arsham Borumand Saeid · Mohammad Akram · Mohammad Hamidi · Saeed Mirvakili

2021年2月 · Infinite Study

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As generalizations and alternatives of classical algebraic structures there have been introduced in 2019 the Neutro Algebraic Structures (or Neutro Algebras) and Anti Algebraic structures (or Anti Algebras). Unlike the classical algebraic structures, where all operations are well-defined and all axioms are totally true, in Neutro Algebras and Anti Algebras the operations may be partially well-defined and the axioms partially true or respectively totally outer-defined and the axioms totally false. These Neutro Algebras and Anti Algebras form a new field of research, which is inspired from our real world. In this paper, we study neutrosophic quadruple algebraic structures and Neutro Quadruple Algebraic Structures. Neutro Quadruple Group is studied in particular and several examples are provided.