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• W3105489364 abstract "The aim of this article is to describe necessary and sufficient conditions for simplicity of Ore extension rings, with an emphasis on differential polynomial rings. We show that a differential polynomial ring, R[x;id,delta], is simple if and only if its center is a field and R is delta-simple. When R is commutative we note that the centralizer of R in R[x;sigma,delta] is a maximal commutative subring containing R and, in the case when sigma=id, we show that it intersects every non-zero ideal of R[x;id,delta] non-trivially. Using this we show that if R is delta-simple and maximal commutative in R[x;id,delta], then R[x;id,delta] is simple. We also show that under some conditions on R the converse holds." @default.
• W3105489364 created "2020-11-23" @default.
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• W3105489364 date "2013-03-10" @default.
• W3105489364 modified "2023-09-27" @default.
• W3105489364 title "MAXIMAL COMMUTATIVE SUBRINGS AND SIMPLICITY OF ORE EXTENSIONS" @default.
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• W3105489364 doi "https://doi.org/10.1142/s0219498812501927" @default.
• W3105489364 hasPublicationYear "2013" @default.
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