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

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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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     author = {Vijay Kumar Bhat and Pradeep Singh and Arun Dutta},
     title = {Transparency of {Ore} extensions over left $\sigma$-$(S,1)$ rings},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {14--21},
     publisher = {mathdoc},
     number = {3},
     year = {2018},
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}
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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/