Properties of Armendariz rings and weak Armendariz rings
2009 ◽
Vol 85
(99)
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pp. 131-137
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Keyword(s):
We consider some properties of Armendariz and rigid rings. We prove that the direct product of rigid (weak rigid), weak Armendariz rings is a rigid (weak rigid), weak Armendariz ring. On the assumption that the factor ring R/I is weak Armendariz, where I is nilpotent ideal, we prove that R is a weak Armendariz ring. We also prove that every ring isomorphism preserves weak skew Armendariz structure. Armendariz rings of Laurent power series are also considered.
2012 ◽
Vol 11
(04)
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pp. 1250079
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2015 ◽
Vol 14
(05)
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pp. 1550064
Keyword(s):
2017 ◽
Vol 16
(10)
◽
pp. 1750194
◽
2012 ◽
Vol 22
(06)
◽
pp. 1250059
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Keyword(s):
2013 ◽
Vol 50
(4)
◽
pp. 436-453
2012 ◽
Vol 12
(01)
◽
pp. 1250129
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