SKEW POLYNOMIAL RINGS WHICH ARE GENERALIZED ASANO PRIME RINGS
2013 ◽
Vol 12
(07)
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pp. 1350024
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Keyword(s):
Let R be a prime Goldie ring with quotient ring Q and σ be an automorphism of R. We define (σ-) generalized Asano prime rings and prove that a skew polynomial ring R[x; σ] is a generalized Asano prime ring if and only if R is a σ-generalized Asano prime ring. This is done by giving explicitly the structure of all v-ideals of R[x; σ] in case R is a σ-Krull prime ring. We provide some examples of σ-generalized Asano prime rings which are not Krull prime rings.
1992 ◽
Vol 35
(1)
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pp. 126-132
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1985 ◽
Vol 28
(1)
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pp. 67-76
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Keyword(s):
2014 ◽
Vol 57
(3)
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pp. 609-613
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2015 ◽
Vol 14
(05)
◽
pp. 1550064
2012 ◽
Vol 05
(03)
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pp. 1250039
Keyword(s):
2012 ◽
Vol 19
(spec01)
◽
pp. 821-840
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1979 ◽
Vol 28
(4)
◽
pp. 423-426
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1978 ◽
Vol 25
(3)
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pp. 314-321
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Keyword(s):