T-Rough Ideals in Ternary Semigroups

Ansari, Moin A.; Yaqoob, Naveed

doi:10.12732/ijpam.v86i2.15

Cited by 5 publications

(4 citation statements)

References 15 publications

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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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“…Zhang et al (2012) investigated the motion properties of the variable mass of the infinitesimal body in the photo‐gravitational circular restricted system using Jeans' law (see Jeans 1928) and Meshcharskii' space–time transformations (see Meshcherskii 1949). Still in the same frame, Ansari (2017, 2018, 2020b) investigated the effects of some particular perturbations and of the variable mass in some restricted n –body problems. Among Specific points that they studied, we can cite effects of these perturbations on the locations of equilibrium points, Poincaré surfaces of section, regions of possible and forbidden motion, basins of attraction, and stability of equilibrium points.…”

Section: Introductionmentioning

confidence: 99%

Perturbed Hill's problem with variable mass

Bouaziz

Ansari²

2021

Astron Nachr

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In the present paper, we investigate the dynamical behavior and motion of an infinitesimal body in the Hill problem under some perturbations. As it has been commonly noticed, this problem can be seen as a particular case of the classical restricted three-body problem. For numerical investigations, we first set the equations of motion of the infinitesimal body that we suppose having a variable mass according to Jeans' law. We get an effective and perceptible variation due to parameters in both the locations of lagrangian points, regions of motion, and basins of attraction. Finally, we examine the stability for the lagrangian points using Meshcherskii's space-time inverse transformations.

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“…Then many properties of ternary semigroups have been extensively studied by many authors. For example, Iampan conceptualized ideal extensions in ternary semigroups in [6], Thongkam and Changphas introduced the concept of two-sided bases of a ternary semigroup in [20], Ansari and Yaqoob [1] discussed the concept of T -rough ternary subsemigroups, T -rough ideals, T -rough bi-ideals, and T -rough interior ideals in ternary semigroups, straddles in ternary semigroups were studied in [18], etc.. The research on ternary semigroups in many aspects has been creative and interesting.…”

Section: Introductionmentioning

confidence: 99%