International Journal of Science , Engineering and Management (IJSEM)

Monthly Journal for Science , Engineering and Management

Volume3,April 2018,

Topic : Left Singularity and Left Regularity in near Idempotent Γ – Semi group

Authors:M. Parvathi Banu || D.Radha

Abstract:In this paper, left singularity and left regularity in a near-idempotent – semigroup are defined. In a nearidempotent – semigroup a is left singular and it is also proved that every class in a near-idempotent – semigroup is left (right) singular if and only if S is left (right) regular. - class is defined and proved that it is a near null semigroup. Also a b for all a,b in S and ab= a in a left singular near-idempotent – semigroup. Any nearidempotent – semigroup is left regular if and only if = and right regular if = . Also any near idempotent – semigroup is near-commutative if = . Any near-commutative – semigroup is near commutative if only and only if it is both left and right regular..

Keywords: Near- idempotent, Γ – semigroup, regular, singular semigroup, δ class , λ-class in near-idempotent Γ – semigroup, near-commutative Γ – semigroup.

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DOI: 01.1617/vol5/iss4/pid96354


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Dr.Muhammad Ishtiaq,
Mirpur University of
Science & Technology,
Mirpur, Azad Kasmir.

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IMPACT FACTOR: 2.7

ISSN(Online): 2456-1304

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Thomson Reuters ID : q-6288-2016.
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Journal Code : IJSEM
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