Neutrosophic Left Almost Semigroup

Mumtaz Ali; Muhammad Shabir; Munazza Naz; Florentin Smarandache

Neutrosophic Left Almost Semigroup

Authors

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

Keywords:

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

Abstract

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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Published

2020-09-18

Issue

Vol. 3 (2014): Neutrosophic Sets and Systems vol. 3 (201`4)

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Creative Commons Attribution (CC BY) license.

How to Cite

Ali, M., Shabir, M., Munazza Naz, & Smarandache, F. (2020). Neutrosophic Left Almost Semigroup. Neutrosophic Sets and Systems, 3, 18-28. https://fs.unm.edu/nss8/index.php/111/article/view/550