Dergiler / Turkish Journal of Mathematics / 2022 / Cilt: 46 - Sayı: 1

Finite ordered Γ-hypersemigroups constructed by ordered Γ-semigroups

Sayfa
323–337
Yayın Tarihi
2022-11-01
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Examples illustrate the results.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the investigation of ordered Γ-hypersemigroups we often need counterexamples (of finite order) given by a table of multiplication and a figure that are impossible to make by hand and very difficult to write programs as well.
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Temel Bulgular & Veri:So it is useful to have examples of ordered Γ-semigroups for which is much more easier to write programs and then from these examples to obtain corresponding examples of ordered Γ-hypersemigroups.
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Sonuç & Katkı:Examples illustrate the results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In the investigation of ordered Γ-hypersemigroups we often need counterexamples (of finite order) given by a table of multiplication and a figure that are impossible to make by hand and very difficult to write programs as well. So it is useful to have examples of ordered Γ-semigroups for which is much more easier to write programs and then from these examples to obtain corresponding examples of ordered Γ-hypersemigroups. In this respect we show that from every example of a regular, intra-regular, right (left) regular, right (left) quasi-regular, semisimple, right (left) simple, simple, strongly regular ordered Γ-semigroup given by a table of multiplication and an order, a corresponding example on ordered Γ-hypersemigroups can be obtained. From examples of different kind of ideals of ordered Γ-semigroups, corresponding examples of ordered Γ-hypersemigroups can be obtained. Examples illustrate the results.

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Bu Makaleye Atıf Yap

KEHAYOPULU, N. (2022). Finite ordered Γ-hypersemigroups constructed by ordered Γ-semigroups. Turkish Journal of Mathematics, Cilt: 46 - Sayı: 1, 323–337. https://ajindex.com/articles/606974

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Kaynakça (7)

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