A GENERALIZATION OF REDUCED RINGS
2012 ◽
Vol 11
(04)
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pp. 1250070
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Keyword(s):
For a ring derivation δ, we introduce and investigate a generalization of reduced rings and Armendariz rings which we call a δ-Armendariz ring. Various classes of δ-Armendariz rings is provided and a number of properties of this generalization are established. Radicals and minimal prime ideals of the differential polynomial ring R[x; δ], in terms of those of a δ-Armendariz R, is determined. We prove that several properties transfer between R and the differential polynomial ring R[x; δ], in case R is δ-Armendariz.
2015 ◽
Vol 14
(05)
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pp. 1550064
2013 ◽
Vol 12
(04)
◽
pp. 1250192
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2019 ◽
Vol 30
(01)
◽
pp. 117-123
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2015 ◽
Vol 25
(03)
◽
pp. 433-438
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Keyword(s):
2019 ◽
Vol 101
(3)
◽
pp. 438-441
2018 ◽
Vol 17
(04)
◽
pp. 1850072
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2012 ◽
Vol 11
(04)
◽
pp. 1250079
◽