Results 131 to 140 of about 211 (141)
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Communications in Algebra, 2010
We construct various examples of Armendariz and related rings by reviewing and extending some results concerning the structure of nil(R). In particular, we give some examples of Armendariz rings related to power series rings and an example of an n-Armendariz ring, for all n ≥ 1, which is not Armendariz.
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We construct various examples of Armendariz and related rings by reviewing and extending some results concerning the structure of nil(R). In particular, we give some examples of Armendariz rings related to power series rings and an example of an n-Armendariz ring, for all n ≥ 1, which is not Armendariz.
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A NOTE ON QUASI-ARMENDARIZ RINGS
Mathematical Journal of Okayama University, 2010A ring R is called a quasi-Armendariz ring if whenever elements α = a 0 +a 1 x+a 2 x 2 +· · ·+a n x n , β = b 0 +b 1 x+b 2 x 2 +· · ·+b m x m ∈ R[x] satisfy αR[x]β = 0, then a i Rb j = 0 for each i, j. In this note we consider quasi-Armendariz property of a special subring of the infinite upper triangular matrix ring over a ring R.
Zhongkui, Liu, Wenhui, Zhang
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Armendariz Properties Relative to a Ring Endomorphism
Communications in Algebra, 2013Yan Xiaoguang
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ARMENDARIZ PROPERTY OVER PRIME RADICALS
Journal of the Korean Mathematical Society, 2013Yang Lee, Juncheol Han, Hong Kee Kim
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Distributive modules and Armendariz modules
Journal of the Mathematical Society of Japan, 2015Michal Ziembowski, Yiqiang Zhou
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QUASI-ARMENDARIZ PROPERTY FOR SKEW POLYNOMIAL RINGS
Communications of the Korean Mathematical Society, 2011Muhittin Baser
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A note on lower nil M-Armendariz rings
Cogent Mathematics & Statistics, 2018Om Prakash, Om Prakash
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