On constant Armendariz rings
2016 ◽
Vol 09
(01)
◽
pp. 1650023
Keyword(s):
Let [Formula: see text] be a ring equipped with an endomorphism [Formula: see text] and an [Formula: see text]-derivation [Formula: see text]. In this article, we study [Formula: see text]-constant Armendariz rings and radicals of the Ore extension [Formula: see text], in terms of a [Formula: see text]-constant Armendariz ring [Formula: see text] with an [Formula: see text]-condition, are determined. We prove that several properties transfer between [Formula: see text] and the Ore extension [Formula: see text], in case [Formula: see text] is [Formula: see text]-compatible [Formula: see text]-constant Armendariz.
2012 ◽
Vol 11
(04)
◽
pp. 1250079
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2015 ◽
Vol 14
(05)
◽
pp. 1550064
2017 ◽
Vol 16
(10)
◽
pp. 1750194
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2009 ◽
Vol 85
(99)
◽
pp. 131-137
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Keyword(s):
2018 ◽
Vol 17
(04)
◽
pp. 1850061
◽
2017 ◽
Vol 16
(11)
◽
pp. 1750201
◽
Keyword(s):
2012 ◽
Vol 22
(06)
◽
pp. 1250059
◽
Keyword(s):
2018 ◽
Vol 4
(1)
◽
pp. 17
Keyword(s):