Open Accessf-Primary Ideals in Semigroups
Author(s) -
Gangadhara Rao Ankata Radha Rani Tammileti
Publication year - 2021
Publication title -
türk bilgisayar ve matematik eğitimi dergisi
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.218
H-Index - 3
ISSN - 1309-4653
DOI - 10.17762/turcomat.v12i5.1495
Subject(s) - ideal (ethics) , mathematics , semigroup , combinatorics , primary ideal , commutative property , maximal ideal , discrete mathematics , commutative ring , law , principal ideal ring , political science
Right now, the terms left f-Primary Ideal, right f-Primary Idealand f- primary ideals are presented. It is Shown that An ideal U in a semigroup S fulfills the condition that If G, H are two ideals of S with the end goal that f (G) f (H)⊆U and f(H)⊈U then f(G)⊆rf (U)iff f (q), f (r)⊆S , ⊆U and f (r)⊈U then f (q)⊆rf (U) in like manner it is exhibited that An ideal U out of a semigroup S fulfills condition If G, H are two ideals of S such that f (G) f (H)⊆U and f (G)⊈U then f (H) ⊆rf (U) iff f (q), f (r)⊆S, ⊆U and f (q)⊈U⇒f (r)⊆rf (U). By utilizing the meanings of left - f- primary and right f- primary ideals a couple of conditions are illustrated It is shown that J is a restrictive maximal ideal in Son the off chance thatrf (U) = J for some ideal U in S at that point J will be a f- primary ideal and Jn is f-primary ideal for some n it is explained that if S is quasi-commutative then an ideal U of S is left f - primary iff right f -primary.