Order:
  1. Neutrosophic LA-Semigroup Rings.Mumtaz Ali, Florentin Smarandache & Luige Vladareanu - 2015 - Neutrosophic Sets and Systems 7:81-88.
    Neutrosophic LA-semigroup is a midway structure between a neutrosophic groupoid and a commutative neutrosophic semigroup. Rings are the old concept in algebraic structures. We combine the neutrosophic LA-semigroup and ring together to form the notion of neutrosophic LA-semigroup ring. Neutrosophic LAsemigroup ring is defined analogously to neutrosophic group ring and neutrosophic semigroup ring.
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  2. Generalization of Neutrosophic Rings and Neutrosophic Fields.Mumtaz Ali, Florentin Smarandache, Muhammad Shabir & Luige Vladareanu - 2014 - Neutrosophic Sets and Systems 5:9-14.
    In this paper we present the generalization of neutrosophic rings and neutrosophic fields. We also extend the neutrosophic ideal to neutrosophic biideal and neutrosophic N-ideal. We also find some new type of notions which are related to the strong or pure part of neutrosophy. We have given sufficient amount of examples to illustrate the theory of neutrosophic birings, neutrosophic N-rings with neutrosophic bifields and neutrosophic N-fields and display many properties of them in this paper.
    Download  
     
    Export citation  
     
    Bookmark  
  3. Generalization of Soft Neutrosophic Rings and Soft Neutrosophic Fields.Mumtaz Ali, Florentin Smarandache, Luige Vladareanu & Muhammad Shabir - 2014 - Neutrosophic Sets and Systems 6:35-41.
    In this paper we extend soft neutrosophic rings and soft neutrosophic fields to soft neutrosophic birings, soft neutrosophic N-rings and soft neutrosophic bifields and soft neutrosophic N-fields. We also extend soft neutrosophic ideal theory to form soft neutrosophic biideal and soft neutrosophic N-ideals over a neutrosophic biring and soft neutrosophic N-ring . We have given examples to illustrate the theory of soft neutrosophic birings, soft neutrosophic N-rings and soft neutrosophic fields and soft neutrosophic N-fields and display many properties of these.
    Download  
     
    Export citation  
     
    Bookmark