Weak Quasi-Armendariz Rings
Keyword(s):
In this paper, we introduce and study weak quasi-Armendariz rings which unify the notions of weak Armendariz rings and quasi-Armendariz rings. It is shown that the weak quasi-Armendarizness is a Morita invariant property. For a semiprime ring R, it is shown that R[x]/〈xn〉 is weak quasi-Armendariz, where R[x] is the polynomial ring over R and 〈xn〉 is the ideal of R[x] generated by xn. Various properties of weak quasi-Armendariz rings are also observed.
2011 ◽
Vol 21
(05)
◽
pp. 745-762
◽
Keyword(s):
2015 ◽
Vol 14
(05)
◽
pp. 1550064
2014 ◽
Vol 13
(06)
◽
pp. 1450015
◽
1962 ◽
Vol 20
◽
pp. 195-199
◽
2019 ◽
Vol 19
(10)
◽
pp. 2050201
Keyword(s):
1999 ◽
Vol 153
◽
pp. 141-153
◽
1991 ◽
Vol 14
(1)
◽
pp. 155-162
◽
Keyword(s):
1996 ◽
Vol 54
(1)
◽
pp. 41-54
◽
2016 ◽
Vol 16
(07)
◽
pp. 1750133
◽