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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 2

Monoids over which products of indecomposable acts are indecomposable

Ahmad KHAKSARİ
Mojtaba SEDAGHATJOO
Sayfa
229–237
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Ultimately, we prove that the one element right $S$-act $\Theta_S$ is product flat if and only if $S$ contains a left zero.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we prove that for a monoid $S$, products of indecomposable right $S$-acts are indecomposable if and only if $S$ contains a rightzero.
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Temel Bulgular & Veri:Besides, we prove that subacts of indecomposable right $S$-acts are indecomposable if and only if $S$ is left reversible.
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Sonuç & Katkı:Ultimately, we prove that the one element right $S$-act $\Theta_S$ is product flat if and only if $S$ contains a left zero.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Indecomposable act · left reversible monoid · Baer criterion

Abstract

In this paper we prove that for a monoid $S$, products of indecomposable right $S$-acts are indecomposable if and only if $S$ contains a rightzero. Besides, we prove that subacts of indecomposable right $S$-acts are indecomposable if and only if $S$ is left reversible. Ultimately, we prove that the one element right $S$-act $\Theta_S$ is product flat if and only if $S$ contains a left zero.

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Bu Makaleye Atıf Yap

KHAKSARİ, A., SEDAGHATJOO, M. (2022). Monoids over which products of indecomposable acts are indecomposable. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 2, 229–237. https://ajindex.com/articles/529961

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Kaynakça (9)

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