Neutrosophic Left Almost Semigroup


  • Mumtaz Ali Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000,Pakistan
  • Muhammad Shabir Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000,Pakistan
  • Munazza Naz Department of Mathematical Sciences, Fatima Jinnah Women University, The Mall, Rawalpindi, 46000, Pakistan
  • Florentin Smarandache University of New Mexico, Math & Science Division, 705 Gurley Ave., Gallup, NM 87301, USA


LA-semigroup,, sub LA-semigroup, ideal, neutrosophic LA-semigroup, neutrosophic sub LA- semigroup, neutrosophic ideal


n this paper we extend the theory of neutrosophy to study left almost semigroup shortly LA-semigroup. We generalize the concepts of LA-semigroup to form that for neutrosophic LA-semigroup. We also ex tend the ideal theory of LA-semigroup to neutrosophy and discuss different kinds of neutrosophic ideals. We also find some new type of neutrosophic ideal which is related to the strong or pure part of neutrosophy. We have given many examples to illustrate the theory of neutrosophic LA-semigroup and display many properties of neutrosophic LA-semigroup in this paper.


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How to Cite

Ali, M., Shabir, M., Munazza Naz, & Smarandache, F. (2020). Neutrosophic Left Almost Semigroup. Neutrosophic Sets and Systems, 3, 18-28. Retrieved from