Geodesic
Transparency of Ore extensions over left $\sigma$-$(S,1)$ rings
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2018), pp. 14-21 
Vijay Kumar Bhat; Pradeep Singh; Arun Dutta. Transparency of Ore extensions over left $\sigma$-$(S,1)$ rings. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2018), pp. 14-21. http://geodesic.mathdoc.fr/item/BASM_2018_3_a1/
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     title = {Transparency of {Ore} extensions over left $\sigma$-$(S,1)$ rings},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $R$ be a ring and $\sigma$ be an endomorphism of $R$. Recall that a ring $R$ is said to be a left $\sigma$-$(S,1)$ ring if for $a,b\in R$, $ab=0$ implies that $aRb=0$ and $\sigma(a)Rb=0$. In this paper we discuss a stronger type of primary decomposition (known as transparency) of a left $\sigma$-$(S,1)$ ring $R$, and Ore extension $R[x;\sigma]$.

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