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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2017 / Volume: 46 Issue: 6

A structure theorem of left regular cyber-groups

Ying Yuan
Xueming Ren
K. P. Shum
Sayfa
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Yayın Tarihi
2017-12-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

After the investigation of the properties of superabundant semigroups, we establish a structure theorem for the left regular cybergroups by using the newly defined left twist product of semigroups.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:An abundant semigroup S is a superabundant semigroup if each $\mathcal{H}^*$-class of S contains an idempotent.
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Temel Bulgular & Veri:We call a superabundant semigroup a left regular cyber-group if the set of its idempotents forms a left regular band.
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Sonuç & Katkı:After the investigation of the properties of superabundant semigroups, we establish a structure theorem for the left regular cybergroups by using the newly defined left twist product of semigroups.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Completely regular semigroups · Superabundant semigroups · Left regular cyber-groups

Abstract

An abundant semigroup S is a superabundant semigroup if each $\mathcal{H}^*$-class of S contains an idempotent. We call a superabundant semigroup a left regular cyber-group if the set of its idempotents forms a left regular band. After the investigation of the properties of superabundant semigroups, we establish a structure theorem for the left regular cybergroups by using the newly defined left twist product of semigroups.

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Bu Makaleye Atıf Yap

Yuan, Y., Ren, X., Shum, K. P. (2017). A structure theorem of left regular cyber-groups. Hacettepe Journal of Mathematics and Statistics, Volume: 46 Issue: 6. https://ajindex.com/articles/1402989

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