Characterization of almost ternary subsemigroups and their fuzzifications

Chinram, R.; Kaewchay, S.; Iampan, Aiyared; Singavananda, P.

doi:10.22436/jmcs.027.02.01

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2023

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“…Ideal theory play an important role in advance studies and uses of algebraic structures. Research of ideal theory of ternary semigroups can bee seen in [1,3,11].…”

Section: Introductionmentioning

confidence: 99%

On Covered Left Ideals of Ternary Semigroups

Chinram¹,

Jantanan²,

Raikham³

et al. 2023

Int. J. of Appl. Math.

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The notion of covered one-sided ideals of a semigroup was introduced by Fabrici in 1981. In this paper, we introduce covered left ideals and covered right ideals of a ternary semigroup. We study some results of a ternary semigroup containing covered left ideals and give the conditions for every proper left ideal of a ternary semigroup to be a covered left ideal. The results of a ternary semigroup containing covered right ideals can be considered dually.

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“…Ideal theory play an important role in advance studies and uses of algebraic structures. Research of ideal theory of ternary semigroups can bee seen in [1,3,11].…”

Section: Introductionmentioning

confidence: 99%

On Covered Left Ideals of Ternary Semigroups

Chinram¹,

Jantanan²,

Raikham³

et al. 2023

Int. J. of Appl. Math.

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show abstract

“…The concept of almost subsemigroups of semigroups and their fuzzifications [8] were first introduced in 2021. After that the characterization of almost ternary subsemigroups and their fuzzifications were presented in [2]. Recently, the almost subsemirings and fuzzifications were studied in [20].…”

Section: Introductionmentioning

confidence: 99%